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Finding the Fourth Proportional to 520,038.20, 778,502.10 and 309,567.80

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Solution

The fourth proportional to 520,038.20, 778,502.10 and 309,567.80 is: 463,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,038.20 : 778,502.10 = 309,567.80 : x
  2. Step 2: Convert to fraction form
    520,038.20/778,502.10 = 309,567.80/x
  3. Step 3: Cross multiply
    520,038.20x = 778,502.10 × 309,567.80
  4. Step 4: Simplify right side
    520,038.20x = 240,999,182,392.38
  5. Step 5: Solve for x
    x = 240,999,182,392.38/520,038.20
  6. Step 6: Final answer
    x = 463,425.92

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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.