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Finding the Fourth Proportional to 464,434.50, 696,713.85 and 183,886.14

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Solution

The fourth proportional to 464,434.50, 696,713.85 and 183,886.14 is: 275,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,434.50 : 696,713.85 = 183,886.14 : x
  2. Step 2: Convert to fraction form
    464,434.50/696,713.85 = 183,886.14/x
  3. Step 3: Cross multiply
    464,434.50x = 696,713.85 × 183,886.14
  4. Step 4: Simplify right side
    464,434.50x = 128,116,020,561.04
  5. Step 5: Solve for x
    x = 128,116,020,561.04/464,434.50
  6. Step 6: Final answer
    x = 275,853.80

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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.