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Finding the Fourth Proportional to 357,274.16, 535,210.56 and 207,199.16

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Solution

The fourth proportional to 357,274.16, 535,210.56 and 207,199.16 is: 310,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,274.16 : 535,210.56 = 207,199.16 : x
  2. Step 2: Convert to fraction form
    357,274.16/535,210.56 = 207,199.16/x
  3. Step 3: Cross multiply
    357,274.16x = 535,210.56 × 207,199.16
  4. Step 4: Simplify right side
    357,274.16x = 110,895,175,779.08
  5. Step 5: Solve for x
    x = 110,895,175,779.08/357,274.16
  6. Step 6: Final answer
    x = 310,392.38

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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.