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Finding the Fourth Proportional to 399,277.80, 598,916.70 and 286,720.20

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Solution

The fourth proportional to 399,277.80, 598,916.70 and 286,720.20 is: 430,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,277.80 : 598,916.70 = 286,720.20 : x
  2. Step 2: Convert to fraction form
    399,277.80/598,916.70 = 286,720.20/x
  3. Step 3: Cross multiply
    399,277.80x = 598,916.70 × 286,720.20
  4. Step 4: Simplify right side
    399,277.80x = 171,721,516,007.34
  5. Step 5: Solve for x
    x = 171,721,516,007.34/399,277.80
  6. Step 6: Final answer
    x = 430,080.30

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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.