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Finding the Fourth Proportional to 472,005.66, 651,070.23 and 280,876.38

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Solution

The fourth proportional to 472,005.66, 651,070.23 and 280,876.38 is: 387,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,005.66 : 651,070.23 = 280,876.38 : x
  2. Step 2: Convert to fraction form
    472,005.66/651,070.23 = 280,876.38/x
  3. Step 3: Cross multiply
    472,005.66x = 651,070.23 × 280,876.38
  4. Step 4: Simplify right side
    472,005.66x = 182,870,249,328.17
  5. Step 5: Solve for x
    x = 182,870,249,328.17/472,005.66
  6. Step 6: Final answer
    x = 387,432.32

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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.