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Finding the Fourth Proportional to 473,609.10, 710,154.45 and 192,809.10

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Solution

The fourth proportional to 473,609.10, 710,154.45 and 192,809.10 is: 289,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,609.10 : 710,154.45 = 192,809.10 : x
  2. Step 2: Convert to fraction form
    473,609.10/710,154.45 = 192,809.10/x
  3. Step 3: Cross multiply
    473,609.10x = 710,154.45 × 192,809.10
  4. Step 4: Simplify right side
    473,609.10x = 136,924,240,365.50
  5. Step 5: Solve for x
    x = 136,924,240,365.50/473,609.10
  6. Step 6: Final answer
    x = 289,108.13

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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.