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Finding the Fourth Proportional to 650,075.76, 974,938.92 and 229,296.24

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Solution

The fourth proportional to 650,075.76, 974,938.92 and 229,296.24 is: 343,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,075.76 : 974,938.92 = 229,296.24 : x
  2. Step 2: Convert to fraction form
    650,075.76/974,938.92 = 229,296.24/x
  3. Step 3: Cross multiply
    650,075.76x = 974,938.92 × 229,296.24
  4. Step 4: Simplify right side
    650,075.76x = 223,549,828,585.66
  5. Step 5: Solve for x
    x = 223,549,828,585.66/650,075.76
  6. Step 6: Final answer
    x = 343,882.73

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