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Finding the Fourth Proportional to 565,720.83, 780,686.11 and 307,595.71

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Solution

The fourth proportional to 565,720.83, 780,686.11 and 307,595.71 is: 424,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,720.83 : 780,686.11 = 307,595.71 : x
  2. Step 2: Convert to fraction form
    565,720.83/780,686.11 = 307,595.71/x
  3. Step 3: Cross multiply
    565,720.83x = 780,686.11 × 307,595.71
  4. Step 4: Simplify right side
    565,720.83x = 240,135,698,292.59
  5. Step 5: Solve for x
    x = 240,135,698,292.59/565,720.83
  6. Step 6: Final answer
    x = 424,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.