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Finding the Fourth Proportional to 402,980.82, 604,077.03 and 150,075.78

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Solution

The fourth proportional to 402,980.82, 604,077.03 and 150,075.78 is: 224,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,980.82 : 604,077.03 = 150,075.78 : x
  2. Step 2: Convert to fraction form
    402,980.82/604,077.03 = 150,075.78/x
  3. Step 3: Cross multiply
    402,980.82x = 604,077.03 × 150,075.78
  4. Step 4: Simplify right side
    402,980.82x = 90,657,331,457.33
  5. Step 5: Solve for x
    x = 90,657,331,457.33/402,980.82
  6. Step 6: Final answer
    x = 224,966.86

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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.