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Finding the Fourth Proportional to 974,308.90, 1,461,872.07 and 434,193.08

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Solution

The fourth proportional to 974,308.90, 1,461,872.07 and 434,193.08 is: 651,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,308.90 : 1,461,872.07 = 434,193.08 : x
  2. Step 2: Convert to fraction form
    974,308.90/1,461,872.07 = 434,193.08/x
  3. Step 3: Cross multiply
    974,308.90x = 1,461,872.07 × 434,193.08
  4. Step 4: Simplify right side
    974,308.90x = 634,734,739,832.73
  5. Step 5: Solve for x
    x = 634,734,739,832.73/974,308.90
  6. Step 6: Final answer
    x = 651,471.77

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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.