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Finding the Fourth Proportional to 520,011.60, 780,017.40 and 296,062.80

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Solution

The fourth proportional to 520,011.60, 780,017.40 and 296,062.80 is: 444,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,011.60 : 780,017.40 = 296,062.80 : x
  2. Step 2: Convert to fraction form
    520,011.60/780,017.40 = 296,062.80/x
  3. Step 3: Cross multiply
    520,011.60x = 780,017.40 × 296,062.80
  4. Step 4: Simplify right side
    520,011.60x = 230,934,135,492.72
  5. Step 5: Solve for x
    x = 230,934,135,492.72/520,011.60
  6. Step 6: Final answer
    x = 444,094.20

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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.