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Finding the Fourth Proportional to 556,106.88, 767,432.97 and 301,457.46

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Solution

The fourth proportional to 556,106.88, 767,432.97 and 301,457.46 is: 416,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,106.88 : 767,432.97 = 301,457.46 : x
  2. Step 2: Convert to fraction form
    556,106.88/767,432.97 = 301,457.46/x
  3. Step 3: Cross multiply
    556,106.88x = 767,432.97 × 301,457.46
  4. Step 4: Simplify right side
    556,106.88x = 231,348,393,856.46
  5. Step 5: Solve for x
    x = 231,348,393,856.46/556,106.88
  6. Step 6: Final answer
    x = 416,014.26

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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.