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Finding the Fourth Proportional to 277,502.40, 416,320.80 and 80,510.40

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Solution

The fourth proportional to 277,502.40, 416,320.80 and 80,510.40 is: 120,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.40 : 416,320.80 = 80,510.40 : x
  2. Step 2: Convert to fraction form
    277,502.40/416,320.80 = 80,510.40/x
  3. Step 3: Cross multiply
    277,502.40x = 416,320.80 × 80,510.40
  4. Step 4: Simplify right side
    277,502.40x = 33,518,154,136.32
  5. Step 5: Solve for x
    x = 33,518,154,136.32/277,502.40
  6. Step 6: Final answer
    x = 120,785.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.