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Finding the Fourth Proportional to 413,663.87, 570,825.45 and 232,406.00

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Solution

The fourth proportional to 413,663.87, 570,825.45 and 232,406.00 is: 320,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,663.87 : 570,825.45 = 232,406.00 : x
  2. Step 2: Convert to fraction form
    413,663.87/570,825.45 = 232,406.00/x
  3. Step 3: Cross multiply
    413,663.87x = 570,825.45 × 232,406.00
  4. Step 4: Simplify right side
    413,663.87x = 132,663,258,670.09
  5. Step 5: Solve for x
    x = 132,663,258,670.09/413,663.87
  6. Step 6: Final answer
    x = 320,703.03

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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.