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Finding the Fourth Proportional to 408,047.10, 612,070.65 and 282,075.90

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Solution

The fourth proportional to 408,047.10, 612,070.65 and 282,075.90 is: 423,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.10 : 612,070.65 = 282,075.90 : x
  2. Step 2: Convert to fraction form
    408,047.10/612,070.65 = 282,075.90/x
  3. Step 3: Cross multiply
    408,047.10x = 612,070.65 × 282,075.90
  4. Step 4: Simplify right side
    408,047.10x = 172,650,379,462.34
  5. Step 5: Solve for x
    x = 172,650,379,462.34/408,047.10
  6. Step 6: Final answer
    x = 423,113.85

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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.