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Finding the Fourth Proportional to 473,711.86, 710,308.27 and 233,297.08

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Solution

The fourth proportional to 473,711.86, 710,308.27 and 233,297.08 is: 349,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,711.86 : 710,308.27 = 233,297.08 : x
  2. Step 2: Convert to fraction form
    473,711.86/710,308.27 = 233,297.08/x
  3. Step 3: Cross multiply
    473,711.86x = 710,308.27 × 233,297.08
  4. Step 4: Simplify right side
    473,711.86x = 165,712,845,290.85
  5. Step 5: Solve for x
    x = 165,712,845,290.85/473,711.86
  6. Step 6: Final answer
    x = 349,817.81

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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.