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Finding the Fourth Proportional to 417,876.32, 576,681 and 226,901.36

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Solution

The fourth proportional to 417,876.32, 576,681 and 226,901.36 is: 313,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,876.32 : 576,681 = 226,901.36 : x
  2. Step 2: Convert to fraction form
    417,876.32/576,681 = 226,901.36/x
  3. Step 3: Cross multiply
    417,876.32x = 576,681 × 226,901.36
  4. Step 4: Simplify right side
    417,876.32x = 130,849,703,186.16
  5. Step 5: Solve for x
    x = 130,849,703,186.16/417,876.32
  6. Step 6: Final answer
    x = 313,130.22

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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.