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Finding the Fourth Proportional to 433,547.70, 649,884.15 and 197,060.10

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Solution

The fourth proportional to 433,547.70, 649,884.15 and 197,060.10 is: 295,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,547.70 : 649,884.15 = 197,060.10 : x
  2. Step 2: Convert to fraction form
    433,547.70/649,884.15 = 197,060.10/x
  3. Step 3: Cross multiply
    433,547.70x = 649,884.15 × 197,060.10
  4. Step 4: Simplify right side
    433,547.70x = 128,066,235,587.42
  5. Step 5: Solve for x
    x = 128,066,235,587.42/433,547.70
  6. Step 6: Final answer
    x = 295,391.34

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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.