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Finding the Fourth Proportional to 295,075.40, 442,613.10 and 73,459.40

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Solution

The fourth proportional to 295,075.40, 442,613.10 and 73,459.40 is: 110,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,075.40 : 442,613.10 = 73,459.40 : x
  2. Step 2: Convert to fraction form
    295,075.40/442,613.10 = 73,459.40/x
  3. Step 3: Cross multiply
    295,075.40x = 442,613.10 × 73,459.40
  4. Step 4: Simplify right side
    295,075.40x = 32,514,092,758.14
  5. Step 5: Solve for x
    x = 32,514,092,758.14/295,075.40
  6. Step 6: Final answer
    x = 110,189.10

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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.