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Finding the Fourth Proportional to 473,727.42, 710,702.66 and 153,878.29

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Solution

The fourth proportional to 473,727.42, 710,702.66 and 153,878.29 is: 230,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,727.42 : 710,702.66 = 153,878.29 : x
  2. Step 2: Convert to fraction form
    473,727.42/710,702.66 = 153,878.29/x
  3. Step 3: Cross multiply
    473,727.42x = 710,702.66 × 153,878.29
  4. Step 4: Simplify right side
    473,727.42x = 109,361,708,627.19
  5. Step 5: Solve for x
    x = 109,361,708,627.19/473,727.42
  6. Step 6: Final answer
    x = 230,853.66

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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.