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Finding the Fourth Proportional to 975,361, 1,461,713.10 and 549,100.12

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Solution

The fourth proportional to 975,361, 1,461,713.10 and 549,100.12 is: 822,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,361 : 1,461,713.10 = 549,100.12 : x
  2. Step 2: Convert to fraction form
    975,361/1,461,713.10 = 549,100.12/x
  3. Step 3: Cross multiply
    975,361x = 1,461,713.10 × 549,100.12
  4. Step 4: Simplify right side
    975,361x = 802,626,838,615.57
  5. Step 5: Solve for x
    x = 802,626,838,615.57/975,361
  6. Step 6: Final answer
    x = 822,902.33

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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.