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Finding the Fourth Proportional to 554,830.90, 832,293.54 and 194,970.70

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Solution

The fourth proportional to 554,830.90, 832,293.54 and 194,970.70 is: 292,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,830.90 : 832,293.54 = 194,970.70 : x
  2. Step 2: Convert to fraction form
    554,830.90/832,293.54 = 194,970.70/x
  3. Step 3: Cross multiply
    554,830.90x = 832,293.54 × 194,970.70
  4. Step 4: Simplify right side
    554,830.90x = 162,272,853,124.43
  5. Step 5: Solve for x
    x = 162,272,853,124.43/554,830.90
  6. Step 6: Final answer
    x = 292,472.63

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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.