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Finding the Fourth Proportional to 561,301.76, 841,981.80 and 280,724.24

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Solution

The fourth proportional to 561,301.76, 841,981.80 and 280,724.24 is: 421,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,301.76 : 841,981.80 = 280,724.24 : x
  2. Step 2: Convert to fraction form
    561,301.76/841,981.80 = 280,724.24/x
  3. Step 3: Cross multiply
    561,301.76x = 841,981.80 × 280,724.24
  4. Step 4: Simplify right side
    561,301.76x = 236,364,700,898.83
  5. Step 5: Solve for x
    x = 236,364,700,898.83/561,301.76
  6. Step 6: Final answer
    x = 421,100.94

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1.5x scale

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.