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Finding the Fourth Proportional to 533,031.95, 799,430.49 and 153,870.32

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Solution

The fourth proportional to 533,031.95, 799,430.49 and 153,870.32 is: 230,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,031.95 : 799,430.49 = 153,870.32 : x
  2. Step 2: Convert to fraction form
    533,031.95/799,430.49 = 153,870.32/x
  3. Step 3: Cross multiply
    533,031.95x = 799,430.49 × 153,870.32
  4. Step 4: Simplify right side
    533,031.95x = 123,008,625,314.06
  5. Step 5: Solve for x
    x = 123,008,625,314.06/533,031.95
  6. Step 6: Final answer
    x = 230,771.58

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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.