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Finding the Fourth Proportional to 556,411.05, 767,848.14 and 301,762.44

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Solution

The fourth proportional to 556,411.05, 767,848.14 and 301,762.44 is: 416,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,411.05 : 767,848.14 = 301,762.44 : x
  2. Step 2: Convert to fraction form
    556,411.05/767,848.14 = 301,762.44/x
  3. Step 3: Cross multiply
    556,411.05x = 767,848.14 × 301,762.44
  4. Step 4: Simplify right side
    556,411.05x = 231,707,728,275.86
  5. Step 5: Solve for x
    x = 231,707,728,275.86/556,411.05
  6. Step 6: Final answer
    x = 416,432.65

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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.