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Finding the Fourth Proportional to 473,358.40, 710,440.80 and 193,076.80

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Solution

The fourth proportional to 473,358.40, 710,440.80 and 193,076.80 is: 289,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,358.40 : 710,440.80 = 193,076.80 : x
  2. Step 2: Convert to fraction form
    473,358.40/710,440.80 = 193,076.80/x
  3. Step 3: Cross multiply
    473,358.40x = 710,440.80 × 193,076.80
  4. Step 4: Simplify right side
    473,358.40x = 137,169,636,253.44
  5. Step 5: Solve for x
    x = 137,169,636,253.44/473,358.40
  6. Step 6: Final answer
    x = 289,779.66

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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.