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Finding the Fourth Proportional to 369,598.47, 510,043.41 and 208,454.91

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Solution

The fourth proportional to 369,598.47, 510,043.41 and 208,454.91 is: 287,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,598.47 : 510,043.41 = 208,454.91 : x
  2. Step 2: Convert to fraction form
    369,598.47/510,043.41 = 208,454.91/x
  3. Step 3: Cross multiply
    369,598.47x = 510,043.41 × 208,454.91
  4. Step 4: Simplify right side
    369,598.47x = 106,321,053,127.64
  5. Step 5: Solve for x
    x = 106,321,053,127.64/369,598.47
  6. Step 6: Final answer
    x = 287,666.38

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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.