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Finding the Fourth Proportional to 565,594.26, 780,525.15 and 307,471.71

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Solution

The fourth proportional to 565,594.26, 780,525.15 and 307,471.71 is: 424,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,594.26 : 780,525.15 = 307,471.71 : x
  2. Step 2: Convert to fraction form
    565,594.26/780,525.15 = 307,471.71/x
  3. Step 3: Cross multiply
    565,594.26x = 780,525.15 × 307,471.71
  4. Step 4: Simplify right side
    565,594.26x = 239,989,402,568.51
  5. Step 5: Solve for x
    x = 239,989,402,568.51/565,594.26
  6. Step 6: Final answer
    x = 424,313.72

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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.