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Finding the Fourth Proportional to 413,411.76, 570,541.32 and 232,135.74

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Solution

The fourth proportional to 413,411.76, 570,541.32 and 232,135.74 is: 320,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,411.76 : 570,541.32 = 232,135.74 : x
  2. Step 2: Convert to fraction form
    413,411.76/570,541.32 = 232,135.74/x
  3. Step 3: Cross multiply
    413,411.76x = 570,541.32 × 232,135.74
  4. Step 4: Simplify right side
    413,411.76x = 132,443,031,518.78
  5. Step 5: Solve for x
    x = 132,443,031,518.78/413,411.76
  6. Step 6: Final answer
    x = 320,365.90

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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.