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Finding the Fourth Proportional to 413,307.64, 570,364.32 and 232,019.92

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Solution

The fourth proportional to 413,307.64, 570,364.32 and 232,019.92 is: 320,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,307.64 : 570,364.32 = 232,019.92 : x
  2. Step 2: Convert to fraction form
    413,307.64/570,364.32 = 232,019.92/x
  3. Step 3: Cross multiply
    413,307.64x = 570,364.32 × 232,019.92
  4. Step 4: Simplify right side
    413,307.64x = 132,335,883,897.25
  5. Step 5: Solve for x
    x = 132,335,883,897.25/413,307.64
  6. Step 6: Final answer
    x = 320,187.36

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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.