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Finding the Fourth Proportional to 442,117.60, 662,398.80 and 362,802.40

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Solution

The fourth proportional to 442,117.60, 662,398.80 and 362,802.40 is: 543,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,117.60 : 662,398.80 = 362,802.40 : x
  2. Step 2: Convert to fraction form
    442,117.60/662,398.80 = 362,802.40/x
  3. Step 3: Cross multiply
    442,117.60x = 662,398.80 × 362,802.40
  4. Step 4: Simplify right side
    442,117.60x = 240,319,874,397.12
  5. Step 5: Solve for x
    x = 240,319,874,397.12/442,117.60
  6. Step 6: Final answer
    x = 543,565.50

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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.