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Finding the Fourth Proportional to 730,293.40, 1,007,705.18 and 407,963.64

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Solution

The fourth proportional to 730,293.40, 1,007,705.18 and 407,963.64 is: 562,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,293.40 : 1,007,705.18 = 407,963.64 : x
  2. Step 2: Convert to fraction form
    730,293.40/1,007,705.18 = 407,963.64/x
  3. Step 3: Cross multiply
    730,293.40x = 1,007,705.18 × 407,963.64
  4. Step 4: Simplify right side
    730,293.40x = 411,107,073,279.66
  5. Step 5: Solve for x
    x = 411,107,073,279.66/730,293.40
  6. Step 6: Final answer
    x = 562,934.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.