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Finding the Fourth Proportional to 771,807.80, 1,157,711.70 and 273,222.20

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Solution

The fourth proportional to 771,807.80, 1,157,711.70 and 273,222.20 is: 409,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,807.80 : 1,157,711.70 = 273,222.20 : x
  2. Step 2: Convert to fraction form
    771,807.80/1,157,711.70 = 273,222.20/x
  3. Step 3: Cross multiply
    771,807.80x = 1,157,711.70 × 273,222.20
  4. Step 4: Simplify right side
    771,807.80x = 316,312,537,639.74
  5. Step 5: Solve for x
    x = 316,312,537,639.74/771,807.80
  6. Step 6: Final answer
    x = 409,833.30

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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.