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Finding the Fourth Proportional to 472,262.90, 708,394.35 and 156,730.10

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Solution

The fourth proportional to 472,262.90, 708,394.35 and 156,730.10 is: 235,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,262.90 : 708,394.35 = 156,730.10 : x
  2. Step 2: Convert to fraction form
    472,262.90/708,394.35 = 156,730.10/x
  3. Step 3: Cross multiply
    472,262.90x = 708,394.35 × 156,730.10
  4. Step 4: Simplify right side
    472,262.90x = 111,026,717,314.94
  5. Step 5: Solve for x
    x = 111,026,717,314.94/472,262.90
  6. Step 6: Final answer
    x = 235,095.15

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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.