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Finding the Fourth Proportional to 403,075.80, 604,613.70 and 284,977.80

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Solution

The fourth proportional to 403,075.80, 604,613.70 and 284,977.80 is: 427,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,075.80 : 604,613.70 = 284,977.80 : x
  2. Step 2: Convert to fraction form
    403,075.80/604,613.70 = 284,977.80/x
  3. Step 3: Cross multiply
    403,075.80x = 604,613.70 × 284,977.80
  4. Step 4: Simplify right side
    403,075.80x = 172,301,482,075.86
  5. Step 5: Solve for x
    x = 172,301,482,075.86/403,075.80
  6. Step 6: Final answer
    x = 427,466.70

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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.