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Finding the Fourth Proportional to 357,277.16, 535,215.06 and 207,202.16

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Solution

The fourth proportional to 357,277.16, 535,215.06 and 207,202.16 is: 310,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,277.16 : 535,215.06 = 207,202.16 : x
  2. Step 2: Convert to fraction form
    357,277.16/535,215.06 = 207,202.16/x
  3. Step 3: Cross multiply
    357,277.16x = 535,215.06 × 207,202.16
  4. Step 4: Simplify right side
    357,277.16x = 110,897,716,496.53
  5. Step 5: Solve for x
    x = 110,897,716,496.53/357,277.16
  6. Step 6: Final answer
    x = 310,396.88

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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.