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Finding the Fourth Proportional to 506,598.49, 698,801.34 and 334,518.04

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Solution

The fourth proportional to 506,598.49, 698,801.34 and 334,518.04 is: 461,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,598.49 : 698,801.34 = 334,518.04 : x
  2. Step 2: Convert to fraction form
    506,598.49/698,801.34 = 334,518.04/x
  3. Step 3: Cross multiply
    506,598.49x = 698,801.34 × 334,518.04
  4. Step 4: Simplify right side
    506,598.49x = 233,761,654,606.17
  5. Step 5: Solve for x
    x = 233,761,654,606.17/506,598.49
  6. Step 6: Final answer
    x = 461,433.78

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1.5x scale

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.