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Finding the Fourth Proportional to 476,442.29, 714,511.71 and 156,519.90

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Solution

The fourth proportional to 476,442.29, 714,511.71 and 156,519.90 is: 234,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,442.29 : 714,511.71 = 156,519.90 : x
  2. Step 2: Convert to fraction form
    476,442.29/714,511.71 = 156,519.90/x
  3. Step 3: Cross multiply
    476,442.29x = 714,511.71 × 156,519.90
  4. Step 4: Simplify right side
    476,442.29x = 111,835,301,398.03
  5. Step 5: Solve for x
    x = 111,835,301,398.03/476,442.29
  6. Step 6: Final answer
    x = 234,730.01

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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.