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Finding the Fourth Proportional to 338,314.59, 507,515.67 and 101,681.19

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Solution

The fourth proportional to 338,314.59, 507,515.67 and 101,681.19 is: 152,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,314.59 : 507,515.67 = 101,681.19 : x
  2. Step 2: Convert to fraction form
    338,314.59/507,515.67 = 101,681.19/x
  3. Step 3: Cross multiply
    338,314.59x = 507,515.67 × 101,681.19
  4. Step 4: Simplify right side
    338,314.59x = 51,604,797,269.25
  5. Step 5: Solve for x
    x = 51,604,797,269.25/338,314.59
  6. Step 6: Final answer
    x = 152,534.94

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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.