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Finding the Fourth Proportional to 402,005.90, 602,024.70 and 191,397.80

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Solution

The fourth proportional to 402,005.90, 602,024.70 and 191,397.80 is: 286,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,005.90 : 602,024.70 = 191,397.80 : x
  2. Step 2: Convert to fraction form
    402,005.90/602,024.70 = 191,397.80/x
  3. Step 3: Cross multiply
    402,005.90x = 602,024.70 × 191,397.80
  4. Step 4: Simplify right side
    402,005.90x = 115,226,203,125.66
  5. Step 5: Solve for x
    x = 115,226,203,125.66/402,005.90
  6. Step 6: Final answer
    x = 286,628.14

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1.5x scale

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.