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Finding the Fourth Proportional to 713,265.70, 1,069,898.55 and 461,323.30

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Solution

The fourth proportional to 713,265.70, 1,069,898.55 and 461,323.30 is: 691,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,265.70 : 1,069,898.55 = 461,323.30 : x
  2. Step 2: Convert to fraction form
    713,265.70/1,069,898.55 = 461,323.30/x
  3. Step 3: Cross multiply
    713,265.70x = 1,069,898.55 × 461,323.30
  4. Step 4: Simplify right side
    713,265.70x = 493,569,129,751.22
  5. Step 5: Solve for x
    x = 493,569,129,751.22/713,265.70
  6. Step 6: Final answer
    x = 691,984.95

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1.5x scale

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.