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Finding the Fourth Proportional to 473,634, 710,801.68 and 224,316.72

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Solution

The fourth proportional to 473,634, 710,801.68 and 224,316.72 is: 336,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,634 : 710,801.68 = 224,316.72 : x
  2. Step 2: Convert to fraction form
    473,634/710,801.68 = 224,316.72/x
  3. Step 3: Cross multiply
    473,634x = 710,801.68 × 224,316.72
  4. Step 4: Simplify right side
    473,634x = 159,444,701,428.09
  5. Step 5: Solve for x
    x = 159,444,701,428.09/473,634
  6. Step 6: Final answer
    x = 336,641.16

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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.