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Finding the Fourth Proportional to 460,387.80, 689,415.30 and 367,075.80

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Solution

The fourth proportional to 460,387.80, 689,415.30 and 367,075.80 is: 549,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,387.80 : 689,415.30 = 367,075.80 : x
  2. Step 2: Convert to fraction form
    460,387.80/689,415.30 = 367,075.80/x
  3. Step 3: Cross multiply
    460,387.80x = 689,415.30 × 367,075.80
  4. Step 4: Simplify right side
    460,387.80x = 253,067,672,779.74
  5. Step 5: Solve for x
    x = 253,067,672,779.74/460,387.80
  6. Step 6: Final answer
    x = 549,683.71

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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.