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Finding the Fourth Proportional to 461,053.52, 636,256.62 and 257,117.32

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Solution

The fourth proportional to 461,053.52, 636,256.62 and 257,117.32 is: 354,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,053.52 : 636,256.62 = 257,117.32 : x
  2. Step 2: Convert to fraction form
    461,053.52/636,256.62 = 257,117.32/x
  3. Step 3: Cross multiply
    461,053.52x = 636,256.62 × 257,117.32
  4. Step 4: Simplify right side
    461,053.52x = 163,592,596,966.66
  5. Step 5: Solve for x
    x = 163,592,596,966.66/461,053.52
  6. Step 6: Final answer
    x = 354,823.44

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1.5x scale

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.