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Finding the Fourth Proportional to 706,156.75, 974,475.77 and 400,261.29

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Solution

The fourth proportional to 706,156.75, 974,475.77 and 400,261.29 is: 552,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,156.75 : 974,475.77 = 400,261.29 : x
  2. Step 2: Convert to fraction form
    706,156.75/974,475.77 = 400,261.29/x
  3. Step 3: Cross multiply
    706,156.75x = 974,475.77 × 400,261.29
  4. Step 4: Simplify right side
    706,156.75x = 390,044,923,901.56
  5. Step 5: Solve for x
    x = 390,044,923,901.56/706,156.75
  6. Step 6: Final answer
    x = 552,348.93

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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.