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Finding the Fourth Proportional to 402,784.32, 604,162.40 and 103,267.92

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Solution

The fourth proportional to 402,784.32, 604,162.40 and 103,267.92 is: 154,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,784.32 : 604,162.40 = 103,267.92 : x
  2. Step 2: Convert to fraction form
    402,784.32/604,162.40 = 103,267.92/x
  3. Step 3: Cross multiply
    402,784.32x = 604,162.40 × 103,267.92
  4. Step 4: Simplify right side
    402,784.32x = 62,390,594,390.21
  5. Step 5: Solve for x
    x = 62,390,594,390.21/402,784.32
  6. Step 6: Final answer
    x = 154,898.27

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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.