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Finding the Fourth Proportional to 556,967.68, 768,616.16 and 302,319.04

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Solution

The fourth proportional to 556,967.68, 768,616.16 and 302,319.04 is: 417,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,967.68 : 768,616.16 = 302,319.04 : x
  2. Step 2: Convert to fraction form
    556,967.68/768,616.16 = 302,319.04/x
  3. Step 3: Cross multiply
    556,967.68x = 768,616.16 × 302,319.04
  4. Step 4: Simplify right side
    556,967.68x = 232,367,299,619.69
  5. Step 5: Solve for x
    x = 232,367,299,619.69/556,967.68
  6. Step 6: Final answer
    x = 417,200.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.