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Finding the Fourth Proportional to 379,784.20, 569,708.82 and 99,301

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Solution

The fourth proportional to 379,784.20, 569,708.82 and 99,301 is: 148,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,784.20 : 569,708.82 = 99,301 : x
  2. Step 2: Convert to fraction form
    379,784.20/569,708.82 = 99,301/x
  3. Step 3: Cross multiply
    379,784.20x = 569,708.82 × 99,301
  4. Step 4: Simplify right side
    379,784.20x = 56,572,655,534.82
  5. Step 5: Solve for x
    x = 56,572,655,534.82/379,784.20
  6. Step 6: Final answer
    x = 148,960.00

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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.