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Finding the Fourth Proportional to 556,547.41, 834,887.63 and 196,643.76

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Solution

The fourth proportional to 556,547.41, 834,887.63 and 196,643.76 is: 294,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,547.41 : 834,887.63 = 196,643.76 : x
  2. Step 2: Convert to fraction form
    556,547.41/834,887.63 = 196,643.76/x
  3. Step 3: Cross multiply
    556,547.41x = 834,887.63 × 196,643.76
  4. Step 4: Simplify right side
    556,547.41x = 164,175,442,740.69
  5. Step 5: Solve for x
    x = 164,175,442,740.69/556,547.41
  6. Step 6: Final answer
    x = 294,989.14

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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.