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Finding the Fourth Proportional to 413,662.40, 570,813.60 and 232,332.80

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Solution

The fourth proportional to 413,662.40, 570,813.60 and 232,332.80 is: 320,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,662.40 : 570,813.60 = 232,332.80 : x
  2. Step 2: Convert to fraction form
    413,662.40/570,813.60 = 232,332.80/x
  3. Step 3: Cross multiply
    413,662.40x = 570,813.60 × 232,332.80
  4. Step 4: Simplify right side
    413,662.40x = 132,618,721,966.08
  5. Step 5: Solve for x
    x = 132,618,721,966.08/413,662.40
  6. Step 6: Final answer
    x = 320,596.51

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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.