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Finding the Fourth Proportional to 466,715.64, 700,110.30 and 229,929.16

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Solution

The fourth proportional to 466,715.64, 700,110.30 and 229,929.16 is: 344,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,715.64 : 700,110.30 = 229,929.16 : x
  2. Step 2: Convert to fraction form
    466,715.64/700,110.30 = 229,929.16/x
  3. Step 3: Cross multiply
    466,715.64x = 700,110.30 × 229,929.16
  4. Step 4: Simplify right side
    466,715.64x = 160,975,773,186.35
  5. Step 5: Solve for x
    x = 160,975,773,186.35/466,715.64
  6. Step 6: Final answer
    x = 344,911.89

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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.