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Finding the Fourth Proportional to 650,232, 974,462.40 and 366,058.08

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Solution

The fourth proportional to 650,232, 974,462.40 and 366,058.08 is: 548,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,232 : 974,462.40 = 366,058.08 : x
  2. Step 2: Convert to fraction form
    650,232/974,462.40 = 366,058.08/x
  3. Step 3: Cross multiply
    650,232x = 974,462.40 × 366,058.08
  4. Step 4: Simplify right side
    650,232x = 356,709,835,176.19
  5. Step 5: Solve for x
    x = 356,709,835,176.19/650,232
  6. Step 6: Final answer
    x = 548,588.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.