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Finding the Fourth Proportional to 520,047.10, 780,070.65 and 146,070.10

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Solution

The fourth proportional to 520,047.10, 780,070.65 and 146,070.10 is: 219,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047.10 : 780,070.65 = 146,070.10 : x
  2. Step 2: Convert to fraction form
    520,047.10/780,070.65 = 146,070.10/x
  3. Step 3: Cross multiply
    520,047.10x = 780,070.65 × 146,070.10
  4. Step 4: Simplify right side
    520,047.10x = 113,944,997,852.57
  5. Step 5: Solve for x
    x = 113,944,997,852.57/520,047.10
  6. Step 6: Final answer
    x = 219,105.15

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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.