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Finding the Fourth Proportional to 685,412, 944,178.49 and 583,109.81

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Solution

The fourth proportional to 685,412, 944,178.49 and 583,109.81 is: 803,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,412 : 944,178.49 = 583,109.81 : x
  2. Step 2: Convert to fraction form
    685,412/944,178.49 = 583,109.81/x
  3. Step 3: Cross multiply
    685,412x = 944,178.49 × 583,109.81
  4. Step 4: Simplify right side
    685,412x = 550,559,739,909.99
  5. Step 5: Solve for x
    x = 550,559,739,909.99/685,412
  6. Step 6: Final answer
    x = 803,253.72

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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.