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Finding the Fourth Proportional to 473,540.48, 710,660.16 and 224,222.08

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Solution

The fourth proportional to 473,540.48, 710,660.16 and 224,222.08 is: 336,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,540.48 : 710,660.16 = 224,222.08 : x
  2. Step 2: Convert to fraction form
    473,540.48/710,660.16 = 224,222.08/x
  3. Step 3: Cross multiply
    473,540.48x = 710,660.16 × 224,222.08
  4. Step 4: Simplify right side
    473,540.48x = 159,345,699,248.33
  5. Step 5: Solve for x
    x = 159,345,699,248.33/473,540.48
  6. Step 6: Final answer
    x = 336,498.58

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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.