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Finding the Fourth Proportional to 369,598.95, 510,046.40 and 208,453.64

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Solution

The fourth proportional to 369,598.95, 510,046.40 and 208,453.64 is: 287,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,598.95 : 510,046.40 = 208,453.64 : x
  2. Step 2: Convert to fraction form
    369,598.95/510,046.40 = 208,453.64/x
  3. Step 3: Cross multiply
    369,598.95x = 510,046.40 × 208,453.64
  4. Step 4: Simplify right side
    369,598.95x = 106,321,026,619.80
  5. Step 5: Solve for x
    x = 106,321,026,619.80/369,598.95
  6. Step 6: Final answer
    x = 287,665.93

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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.