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Finding the Fourth Proportional to 552,511.48, 829,381.74 and 286,200.76

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Solution

The fourth proportional to 552,511.48, 829,381.74 and 286,200.76 is: 429,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,511.48 : 829,381.74 = 286,200.76 : x
  2. Step 2: Convert to fraction form
    552,511.48/829,381.74 = 286,200.76/x
  3. Step 3: Cross multiply
    552,511.48x = 829,381.74 × 286,200.76
  4. Step 4: Simplify right side
    552,511.48x = 237,369,684,318.12
  5. Step 5: Solve for x
    x = 237,369,684,318.12/552,511.48
  6. Step 6: Final answer
    x = 429,619.46

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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.