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Finding the Fourth Proportional to 291,345, 437,017.80 and 166,598.52

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Solution

The fourth proportional to 291,345, 437,017.80 and 166,598.52 is: 249,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,345 : 437,017.80 = 166,598.52 : x
  2. Step 2: Convert to fraction form
    291,345/437,017.80 = 166,598.52/x
  3. Step 3: Cross multiply
    291,345x = 437,017.80 × 166,598.52
  4. Step 4: Simplify right side
    291,345x = 72,806,518,693.66
  5. Step 5: Solve for x
    x = 72,806,518,693.66/291,345
  6. Step 6: Final answer
    x = 249,897.95

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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.