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Finding the Fourth Proportional to 338,206.84, 507,314.50 and 101,535.76

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Solution

The fourth proportional to 338,206.84, 507,314.50 and 101,535.76 is: 152,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,206.84 : 507,314.50 = 101,535.76 : x
  2. Step 2: Convert to fraction form
    338,206.84/507,314.50 = 101,535.76/x
  3. Step 3: Cross multiply
    338,206.84x = 507,314.50 × 101,535.76
  4. Step 4: Simplify right side
    338,206.84x = 51,510,563,316.52
  5. Step 5: Solve for x
    x = 51,510,563,316.52/338,206.84
  6. Step 6: Final answer
    x = 152,304.91

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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.