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Finding the Fourth Proportional to 650,838.40, 977,132.40 and 415,225.60

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Solution

The fourth proportional to 650,838.40, 977,132.40 and 415,225.60 is: 623,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,838.40 : 977,132.40 = 415,225.60 : x
  2. Step 2: Convert to fraction form
    650,838.40/977,132.40 = 415,225.60/x
  3. Step 3: Cross multiply
    650,838.40x = 977,132.40 × 415,225.60
  4. Step 4: Simplify right side
    650,838.40x = 405,730,387,069.44
  5. Step 5: Solve for x
    x = 405,730,387,069.44/650,838.40
  6. Step 6: Final answer
    x = 623,396.51

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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.