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Finding the Fourth Proportional to 473,214.70, 710,016.45 and 173,838.70

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Solution

The fourth proportional to 473,214.70, 710,016.45 and 173,838.70 is: 260,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,214.70 : 710,016.45 = 173,838.70 : x
  2. Step 2: Convert to fraction form
    473,214.70/710,016.45 = 173,838.70/x
  3. Step 3: Cross multiply
    473,214.70x = 710,016.45 × 173,838.70
  4. Step 4: Simplify right side
    473,214.70x = 123,428,336,646.62
  5. Step 5: Solve for x
    x = 123,428,336,646.62/473,214.70
  6. Step 6: Final answer
    x = 260,829.46

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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.