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Finding the Fourth Proportional to 473,927.83, 710,891.75 and 158,384.74

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Solution

The fourth proportional to 473,927.83, 710,891.75 and 158,384.74 is: 237,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,927.83 : 710,891.75 = 158,384.74 : x
  2. Step 2: Convert to fraction form
    473,927.83/710,891.75 = 158,384.74/x
  3. Step 3: Cross multiply
    473,927.83x = 710,891.75 × 158,384.74
  4. Step 4: Simplify right side
    473,927.83x = 112,594,404,991.90
  5. Step 5: Solve for x
    x = 112,594,404,991.90/473,927.83
  6. Step 6: Final answer
    x = 237,577.11

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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.