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Finding the Fourth Proportional to 376,935.60, 565,403.40 and 166,465.20

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Solution

The fourth proportional to 376,935.60, 565,403.40 and 166,465.20 is: 249,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,935.60 : 565,403.40 = 166,465.20 : x
  2. Step 2: Convert to fraction form
    376,935.60/565,403.40 = 166,465.20/x
  3. Step 3: Cross multiply
    376,935.60x = 565,403.40 × 166,465.20
  4. Step 4: Simplify right side
    376,935.60x = 94,119,990,061.68
  5. Step 5: Solve for x
    x = 94,119,990,061.68/376,935.60
  6. Step 6: Final answer
    x = 249,697.80

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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.