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Finding the Fourth Proportional to 413,365.87, 570,395.89 and 232,038.06

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Solution

The fourth proportional to 413,365.87, 570,395.89 and 232,038.06 is: 320,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,365.87 : 570,395.89 = 232,038.06 : x
  2. Step 2: Convert to fraction form
    413,365.87/570,395.89 = 232,038.06/x
  3. Step 3: Cross multiply
    413,365.87x = 570,395.89 × 232,038.06
  4. Step 4: Simplify right side
    413,365.87x = 132,353,555,747.57
  5. Step 5: Solve for x
    x = 132,353,555,747.57/413,365.87
  6. Step 6: Final answer
    x = 320,185.01

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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.