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Finding the Fourth Proportional to 647,533.64, 971,417.34 and 292,714.76

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Solution

The fourth proportional to 647,533.64, 971,417.34 and 292,714.76 is: 439,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,533.64 : 971,417.34 = 292,714.76 : x
  2. Step 2: Convert to fraction form
    647,533.64/971,417.34 = 292,714.76/x
  3. Step 3: Cross multiply
    647,533.64x = 971,417.34 × 292,714.76
  4. Step 4: Simplify right side
    647,533.64x = 284,348,193,537.94
  5. Step 5: Solve for x
    x = 284,348,193,537.94/647,533.64
  6. Step 6: Final answer
    x = 439,124.98

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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.