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Finding the Fourth Proportional to 575,094.40, 862,814.40 and 409,206.40

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Solution

The fourth proportional to 575,094.40, 862,814.40 and 409,206.40 is: 613,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,094.40 : 862,814.40 = 409,206.40 : x
  2. Step 2: Convert to fraction form
    575,094.40/862,814.40 = 409,206.40/x
  3. Step 3: Cross multiply
    575,094.40x = 862,814.40 × 409,206.40
  4. Step 4: Simplify right side
    575,094.40x = 353,069,174,492.16
  5. Step 5: Solve for x
    x = 353,069,174,492.16/575,094.40
  6. Step 6: Final answer
    x = 613,932.56

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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.