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Finding the Fourth Proportional to 524,053.70, 723,154.32 and 294,574.48

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Solution

The fourth proportional to 524,053.70, 723,154.32 and 294,574.48 is: 406,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,053.70 : 723,154.32 = 294,574.48 : x
  2. Step 2: Convert to fraction form
    524,053.70/723,154.32 = 294,574.48/x
  3. Step 3: Cross multiply
    524,053.70x = 723,154.32 × 294,574.48
  4. Step 4: Simplify right side
    524,053.70x = 213,022,807,773.75
  5. Step 5: Solve for x
    x = 213,022,807,773.75/524,053.70
  6. Step 6: Final answer
    x = 406,490.42

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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.