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Finding the Fourth Proportional to 407,005.20, 610,507.80 and 361,904.40

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Solution

The fourth proportional to 407,005.20, 610,507.80 and 361,904.40 is: 542,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,005.20 : 610,507.80 = 361,904.40 : x
  2. Step 2: Convert to fraction form
    407,005.20/610,507.80 = 361,904.40/x
  3. Step 3: Cross multiply
    407,005.20x = 610,507.80 × 361,904.40
  4. Step 4: Simplify right side
    407,005.20x = 220,945,459,054.32
  5. Step 5: Solve for x
    x = 220,945,459,054.32/407,005.20
  6. Step 6: Final answer
    x = 542,856.60

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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.