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Finding the Fourth Proportional to 506,722.12, 698,971.88 and 334,641.66

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Solution

The fourth proportional to 506,722.12, 698,971.88 and 334,641.66 is: 461,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,722.12 : 698,971.88 = 334,641.66 : x
  2. Step 2: Convert to fraction form
    506,722.12/698,971.88 = 334,641.66/x
  3. Step 3: Cross multiply
    506,722.12x = 698,971.88 × 334,641.66
  4. Step 4: Simplify right side
    506,722.12x = 233,905,110,216.52
  5. Step 5: Solve for x
    x = 233,905,110,216.52/506,722.12
  6. Step 6: Final answer
    x = 461,604.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.