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Finding the Fourth Proportional to 653,140.84, 980,074.14 and 353,617

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Solution

The fourth proportional to 653,140.84, 980,074.14 and 353,617 is: 530,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,140.84 : 980,074.14 = 353,617 : x
  2. Step 2: Convert to fraction form
    653,140.84/980,074.14 = 353,617/x
  3. Step 3: Cross multiply
    653,140.84x = 980,074.14 × 353,617
  4. Step 4: Simplify right side
    653,140.84x = 346,570,877,164.38
  5. Step 5: Solve for x
    x = 346,570,877,164.38/653,140.84
  6. Step 6: Final answer
    x = 530,621.97

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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.