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Finding the Fourth Proportional to 473,521.93, 710,098.63 and 153,596.43

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Solution

The fourth proportional to 473,521.93, 710,098.63 and 153,596.43 is: 230,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,521.93 : 710,098.63 = 153,596.43 : x
  2. Step 2: Convert to fraction form
    473,521.93/710,098.63 = 153,596.43/x
  3. Step 3: Cross multiply
    473,521.93x = 710,098.63 × 153,596.43
  4. Step 4: Simplify right side
    473,521.93x = 109,068,614,131.90
  5. Step 5: Solve for x
    x = 109,068,614,131.90/473,521.93
  6. Step 6: Final answer
    x = 230,334.88

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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.