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Finding the Fourth Proportional to 552,586.61, 828,877.17 and 477,478.20

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Solution

The fourth proportional to 552,586.61, 828,877.17 and 477,478.20 is: 716,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,586.61 : 828,877.17 = 477,478.20 : x
  2. Step 2: Convert to fraction form
    552,586.61/828,877.17 = 477,478.20/x
  3. Step 3: Cross multiply
    552,586.61x = 828,877.17 × 477,478.20
  4. Step 4: Simplify right side
    552,586.61x = 395,770,779,152.69
  5. Step 5: Solve for x
    x = 395,770,779,152.69/552,586.61
  6. Step 6: Final answer
    x = 716,214.93

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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.