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Finding the Fourth Proportional to 473,710.80, 710,335.62 and 158,061

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Solution

The fourth proportional to 473,710.80, 710,335.62 and 158,061 is: 237,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,710.80 : 710,335.62 = 158,061 : x
  2. Step 2: Convert to fraction form
    473,710.80/710,335.62 = 158,061/x
  3. Step 3: Cross multiply
    473,710.80x = 710,335.62 × 158,061
  4. Step 4: Simplify right side
    473,710.80x = 112,276,358,432.82
  5. Step 5: Solve for x
    x = 112,276,358,432.82/473,710.80
  6. Step 6: Final answer
    x = 237,014.56

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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.