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Finding the Fourth Proportional to 473,501.47, 710,357.16 and 136,515.83

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Solution

The fourth proportional to 473,501.47, 710,357.16 and 136,515.83 is: 204,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,501.47 : 710,357.16 = 136,515.83 : x
  2. Step 2: Convert to fraction form
    473,501.47/710,357.16 = 136,515.83/x
  3. Step 3: Cross multiply
    473,501.47x = 710,357.16 × 136,515.83
  4. Step 4: Simplify right side
    473,501.47x = 96,974,997,481.85
  5. Step 5: Solve for x
    x = 96,974,997,481.85/473,501.47
  6. Step 6: Final answer
    x = 204,804.00

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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.