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Finding the Fourth Proportional to 832,713, 1,249,104.06 and 241,737

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Solution

The fourth proportional to 832,713, 1,249,104.06 and 241,737 is: 362,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,713 : 1,249,104.06 = 241,737 : x
  2. Step 2: Convert to fraction form
    832,713/1,249,104.06 = 241,737/x
  3. Step 3: Cross multiply
    832,713x = 1,249,104.06 × 241,737
  4. Step 4: Simplify right side
    832,713x = 301,954,668,152.22
  5. Step 5: Solve for x
    x = 301,954,668,152.22/832,713
  6. Step 6: Final answer
    x = 362,615.53

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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.