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Finding the Fourth Proportional to 556,756.64, 834,726 and 177,459.20

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Solution

The fourth proportional to 556,756.64, 834,726 and 177,459.20 is: 266,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,756.64 : 834,726 = 177,459.20 : x
  2. Step 2: Convert to fraction form
    556,756.64/834,726 = 177,459.20/x
  3. Step 3: Cross multiply
    556,756.64x = 834,726 × 177,459.20
  4. Step 4: Simplify right side
    556,756.64x = 148,129,808,179.20
  5. Step 5: Solve for x
    x = 148,129,808,179.20/556,756.64
  6. Step 6: Final answer
    x = 266,058.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.