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Finding the Fourth Proportional to 705,459.46, 973,506.40 and 418,972.18

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Solution

The fourth proportional to 705,459.46, 973,506.40 and 418,972.18 is: 578,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,459.46 : 973,506.40 = 418,972.18 : x
  2. Step 2: Convert to fraction form
    705,459.46/973,506.40 = 418,972.18/x
  3. Step 3: Cross multiply
    705,459.46x = 973,506.40 × 418,972.18
  4. Step 4: Simplify right side
    705,459.46x = 407,872,098,651.95
  5. Step 5: Solve for x
    x = 407,872,098,651.95/705,459.46
  6. Step 6: Final answer
    x = 578,165.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.