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Finding the Fourth Proportional to 517,492.91, 714,140.11 and 288,045.27

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Solution

The fourth proportional to 517,492.91, 714,140.11 and 288,045.27 is: 397,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,492.91 : 714,140.11 = 288,045.27 : x
  2. Step 2: Convert to fraction form
    517,492.91/714,140.11 = 288,045.27/x
  3. Step 3: Cross multiply
    517,492.91x = 714,140.11 × 288,045.27
  4. Step 4: Simplify right side
    517,492.91x = 205,704,680,802.78
  5. Step 5: Solve for x
    x = 205,704,680,802.78/517,492.91
  6. Step 6: Final answer
    x = 397,502.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.