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Finding the Fourth Proportional to 569,165.24, 785,448.30 and 314,516.42

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Solution

The fourth proportional to 569,165.24, 785,448.30 and 314,516.42 is: 434,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,165.24 : 785,448.30 = 314,516.42 : x
  2. Step 2: Convert to fraction form
    569,165.24/785,448.30 = 314,516.42/x
  3. Step 3: Cross multiply
    569,165.24x = 785,448.30 × 314,516.42
  4. Step 4: Simplify right side
    569,165.24x = 247,036,387,411.09
  5. Step 5: Solve for x
    x = 247,036,387,411.09/569,165.24
  6. Step 6: Final answer
    x = 434,032.81

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1.5x scale

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.