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Finding the Fourth Proportional to 561,953.52, 842,042.52 and 456,256.08

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Solution

The fourth proportional to 561,953.52, 842,042.52 and 456,256.08 is: 683,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,953.52 : 842,042.52 = 456,256.08 : x
  2. Step 2: Convert to fraction form
    561,953.52/842,042.52 = 456,256.08/x
  3. Step 3: Cross multiply
    561,953.52x = 842,042.52 × 456,256.08
  4. Step 4: Simplify right side
    561,953.52x = 384,187,019,368.52
  5. Step 5: Solve for x
    x = 384,187,019,368.52/561,953.52
  6. Step 6: Final answer
    x = 683,663.34

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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.