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Finding the Fourth Proportional to 417,999.20, 626,998.80 and 260,146.40

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Solution

The fourth proportional to 417,999.20, 626,998.80 and 260,146.40 is: 390,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,999.20 : 626,998.80 = 260,146.40 : x
  2. Step 2: Convert to fraction form
    417,999.20/626,998.80 = 260,146.40/x
  3. Step 3: Cross multiply
    417,999.20x = 626,998.80 × 260,146.40
  4. Step 4: Simplify right side
    417,999.20x = 163,111,480,624.32
  5. Step 5: Solve for x
    x = 163,111,480,624.32/417,999.20
  6. Step 6: Final answer
    x = 390,219.60

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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.