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Finding the Fourth Proportional to 560,655.60, 841,094.16 and 205,672.68

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Solution

The fourth proportional to 560,655.60, 841,094.16 and 205,672.68 is: 308,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,655.60 : 841,094.16 = 205,672.68 : x
  2. Step 2: Convert to fraction form
    560,655.60/841,094.16 = 205,672.68/x
  3. Step 3: Cross multiply
    560,655.60x = 841,094.16 × 205,672.68
  4. Step 4: Simplify right side
    560,655.60x = 172,990,090,019.55
  5. Step 5: Solve for x
    x = 172,990,090,019.55/560,655.60
  6. Step 6: Final answer
    x = 308,549.65

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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.