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Finding the Fourth Proportional to 650,509.11, 898,042.33 and 405,567.84

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Solution

The fourth proportional to 650,509.11, 898,042.33 and 405,567.84 is: 559,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,509.11 : 898,042.33 = 405,567.84 : x
  2. Step 2: Convert to fraction form
    650,509.11/898,042.33 = 405,567.84/x
  3. Step 3: Cross multiply
    650,509.11x = 898,042.33 × 405,567.84
  4. Step 4: Simplify right side
    650,509.11x = 364,217,088,006.67
  5. Step 5: Solve for x
    x = 364,217,088,006.67/650,509.11
  6. Step 6: Final answer
    x = 559,895.45

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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.