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Finding the Fourth Proportional to 402,529.48, 602,934.54 and 306,694.60

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Solution

The fourth proportional to 402,529.48, 602,934.54 and 306,694.60 is: 459,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,529.48 : 602,934.54 = 306,694.60 : x
  2. Step 2: Convert to fraction form
    402,529.48/602,934.54 = 306,694.60/x
  3. Step 3: Cross multiply
    402,529.48x = 602,934.54 × 306,694.60
  4. Step 4: Simplify right side
    402,529.48x = 184,916,767,571.48
  5. Step 5: Solve for x
    x = 184,916,767,571.48/402,529.48
  6. Step 6: Final answer
    x = 459,386.89

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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.