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Finding the Fourth Proportional to 287,570.70, 431,356.05 and 145,853.10

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Solution

The fourth proportional to 287,570.70, 431,356.05 and 145,853.10 is: 218,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,570.70 : 431,356.05 = 145,853.10 : x
  2. Step 2: Convert to fraction form
    287,570.70/431,356.05 = 145,853.10/x
  3. Step 3: Cross multiply
    287,570.70x = 431,356.05 × 145,853.10
  4. Step 4: Simplify right side
    287,570.70x = 62,914,617,096.26
  5. Step 5: Solve for x
    x = 62,914,617,096.26/287,570.70
  6. Step 6: Final answer
    x = 218,779.65

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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.