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Finding the Fourth Proportional to 557,214.94, 768,959.76 and 302,566.20

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Solution

The fourth proportional to 557,214.94, 768,959.76 and 302,566.20 is: 417,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,214.94 : 768,959.76 = 302,566.20 : x
  2. Step 2: Convert to fraction form
    557,214.94/768,959.76 = 302,566.20/x
  3. Step 3: Cross multiply
    557,214.94x = 768,959.76 × 302,566.20
  4. Step 4: Simplify right side
    557,214.94x = 232,661,232,536.11
  5. Step 5: Solve for x
    x = 232,661,232,536.11/557,214.94
  6. Step 6: Final answer
    x = 417,543.06

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1.5x scale

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.