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Finding the Fourth Proportional to 413,448.40, 570,523.80 and 232,146.10

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Solution

The fourth proportional to 413,448.40, 570,523.80 and 232,146.10 is: 320,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,448.40 : 570,523.80 = 232,146.10 : x
  2. Step 2: Convert to fraction form
    413,448.40/570,523.80 = 232,146.10/x
  3. Step 3: Cross multiply
    413,448.40x = 570,523.80 × 232,146.10
  4. Step 4: Simplify right side
    413,448.40x = 132,444,875,127.18
  5. Step 5: Solve for x
    x = 132,444,875,127.18/413,448.40
  6. Step 6: Final answer
    x = 320,341.97

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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.