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Finding the Fourth Proportional to 457,248.84, 685,873.32 and 190,864.03

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Solution

The fourth proportional to 457,248.84, 685,873.32 and 190,864.03 is: 286,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,248.84 : 685,873.32 = 190,864.03 : x
  2. Step 2: Convert to fraction form
    457,248.84/685,873.32 = 190,864.03/x
  3. Step 3: Cross multiply
    457,248.84x = 685,873.32 × 190,864.03
  4. Step 4: Simplify right side
    457,248.84x = 130,908,545,924.68
  5. Step 5: Solve for x
    x = 130,908,545,924.68/457,248.84
  6. Step 6: Final answer
    x = 286,296.07

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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.