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Finding the Fourth Proportional to 556,714.01, 768,274.27 and 302,065.20

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Solution

The fourth proportional to 556,714.01, 768,274.27 and 302,065.20 is: 416,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,714.01 : 768,274.27 = 302,065.20 : x
  2. Step 2: Convert to fraction form
    556,714.01/768,274.27 = 302,065.20/x
  3. Step 3: Cross multiply
    556,714.01x = 768,274.27 × 302,065.20
  4. Step 4: Simplify right side
    556,714.01x = 232,068,920,267.24
  5. Step 5: Solve for x
    x = 232,068,920,267.24/556,714.01
  6. Step 6: Final answer
    x = 416,854.82

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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.