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Finding the Fourth Proportional to 650,561.63, 898,329.08 and 409,248.05

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Solution

The fourth proportional to 650,561.63, 898,329.08 and 409,248.05 is: 565,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,561.63 : 898,329.08 = 409,248.05 : x
  2. Step 2: Convert to fraction form
    650,561.63/898,329.08 = 409,248.05/x
  3. Step 3: Cross multiply
    650,561.63x = 898,329.08 × 409,248.05
  4. Step 4: Simplify right side
    650,561.63x = 367,639,420,779.77
  5. Step 5: Solve for x
    x = 367,639,420,779.77/650,561.63
  6. Step 6: Final answer
    x = 565,110.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.