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Finding the Fourth Proportional to 870,240.32, 1,305,627.71 and 415,411.93

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Solution

The fourth proportional to 870,240.32, 1,305,627.71 and 415,411.93 is: 623,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,240.32 : 1,305,627.71 = 415,411.93 : x
  2. Step 2: Convert to fraction form
    870,240.32/1,305,627.71 = 415,411.93/x
  3. Step 3: Cross multiply
    870,240.32x = 1,305,627.71 × 415,411.93
  4. Step 4: Simplify right side
    870,240.32x = 542,373,326,872.58
  5. Step 5: Solve for x
    x = 542,373,326,872.58/870,240.32
  6. Step 6: Final answer
    x = 623,245.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.