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Finding the Fourth Proportional to 552,006.30, 828,009.45 and 286,285.80

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Solution

The fourth proportional to 552,006.30, 828,009.45 and 286,285.80 is: 429,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,006.30 : 828,009.45 = 286,285.80 : x
  2. Step 2: Convert to fraction form
    552,006.30/828,009.45 = 286,285.80/x
  3. Step 3: Cross multiply
    552,006.30x = 828,009.45 × 286,285.80
  4. Step 4: Simplify right side
    552,006.30x = 237,047,347,800.81
  5. Step 5: Solve for x
    x = 237,047,347,800.81/552,006.30
  6. Step 6: Final answer
    x = 429,428.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.