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Finding the Fourth Proportional to 341,624, 512,746.96 and 181,834.08

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Solution

The fourth proportional to 341,624, 512,746.96 and 181,834.08 is: 272,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,624 : 512,746.96 = 181,834.08 : x
  2. Step 2: Convert to fraction form
    341,624/512,746.96 = 181,834.08/x
  3. Step 3: Cross multiply
    341,624x = 512,746.96 × 181,834.08
  4. Step 4: Simplify right side
    341,624x = 93,234,871,744.40
  5. Step 5: Solve for x
    x = 93,234,871,744.40/341,624
  6. Step 6: Final answer
    x = 272,916.63

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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.