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Finding the Fourth Proportional to 413,357.46, 570,443.76 and 232,083.51

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Solution

The fourth proportional to 413,357.46, 570,443.76 and 232,083.51 is: 320,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,357.46 : 570,443.76 = 232,083.51 : x
  2. Step 2: Convert to fraction form
    413,357.46/570,443.76 = 232,083.51/x
  3. Step 3: Cross multiply
    413,357.46x = 570,443.76 × 232,083.51
  4. Step 4: Simplify right side
    413,357.46x = 132,390,590,078.40
  5. Step 5: Solve for x
    x = 132,390,590,078.40/413,357.46
  6. Step 6: Final answer
    x = 320,281.12

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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.