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Finding the Fourth Proportional to 464,332.42, 696,560.46 and 183,784.06

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Solution

The fourth proportional to 464,332.42, 696,560.46 and 183,784.06 is: 275,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,332.42 : 696,560.46 = 183,784.06 : x
  2. Step 2: Convert to fraction form
    464,332.42/696,560.46 = 183,784.06/x
  3. Step 3: Cross multiply
    464,332.42x = 696,560.46 × 183,784.06
  4. Step 4: Simplify right side
    464,332.42x = 128,016,709,374.27
  5. Step 5: Solve for x
    x = 128,016,709,374.27/464,332.42
  6. Step 6: Final answer
    x = 275,700.56

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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.