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Finding the Fourth Proportional to 556,947.54, 768,587.67 and 302,298.66

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Solution

The fourth proportional to 556,947.54, 768,587.67 and 302,298.66 is: 417,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,947.54 : 768,587.67 = 302,298.66 : x
  2. Step 2: Convert to fraction form
    556,947.54/768,587.67 = 302,298.66/x
  3. Step 3: Cross multiply
    556,947.54x = 768,587.67 × 302,298.66
  4. Step 4: Simplify right side
    556,947.54x = 232,343,022,733.52
  5. Step 5: Solve for x
    x = 232,343,022,733.52/556,947.54
  6. Step 6: Final answer
    x = 417,172.19

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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.