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Finding the Fourth Proportional to 407,041.20, 610,561.80 and 265,323.60

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Solution

The fourth proportional to 407,041.20, 610,561.80 and 265,323.60 is: 397,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,041.20 : 610,561.80 = 265,323.60 : x
  2. Step 2: Convert to fraction form
    407,041.20/610,561.80 = 265,323.60/x
  3. Step 3: Cross multiply
    407,041.20x = 610,561.80 × 265,323.60
  4. Step 4: Simplify right side
    407,041.20x = 161,996,454,798.48
  5. Step 5: Solve for x
    x = 161,996,454,798.48/407,041.20
  6. Step 6: Final answer
    x = 397,985.40

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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.