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Finding the Fourth Proportional to 473,543.32, 710,069.70 and 173,946.52

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Solution

The fourth proportional to 473,543.32, 710,069.70 and 173,946.52 is: 260,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,543.32 : 710,069.70 = 173,946.52 : x
  2. Step 2: Convert to fraction form
    473,543.32/710,069.70 = 173,946.52/x
  3. Step 3: Cross multiply
    473,543.32x = 710,069.70 × 173,946.52
  4. Step 4: Simplify right side
    473,543.32x = 123,514,153,272.44
  5. Step 5: Solve for x
    x = 123,514,153,272.44/473,543.32
  6. Step 6: Final answer
    x = 260,829.68

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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.