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Finding the Fourth Proportional to 1,191,897.98, 1,788,970.54 and 434,471.53

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Solution

The fourth proportional to 1,191,897.98, 1,788,970.54 and 434,471.53 is: 652,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,897.98 : 1,788,970.54 = 434,471.53 : x
  2. Step 2: Convert to fraction form
    1,191,897.98/1,788,970.54 = 434,471.53/x
  3. Step 3: Cross multiply
    1,191,897.98x = 1,788,970.54 × 434,471.53
  4. Step 4: Simplify right side
    1,191,897.98x = 777,256,767,638.73
  5. Step 5: Solve for x
    x = 777,256,767,638.73/1,191,897.98
  6. Step 6: Final answer
    x = 652,116.86

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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.