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Finding the Fourth Proportional to 512,597.28, 707,405.72 and 294,806.10

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Solution

The fourth proportional to 512,597.28, 707,405.72 and 294,806.10 is: 406,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,597.28 : 707,405.72 = 294,806.10 : x
  2. Step 2: Convert to fraction form
    512,597.28/707,405.72 = 294,806.10/x
  3. Step 3: Cross multiply
    512,597.28x = 707,405.72 × 294,806.10
  4. Step 4: Simplify right side
    512,597.28x = 208,547,521,430.89
  5. Step 5: Solve for x
    x = 208,547,521,430.89/512,597.28
  6. Step 6: Final answer
    x = 406,844.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.