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Finding the Fourth Proportional to 535,441.64, 802,905.89 and 310,864.07

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Solution

The fourth proportional to 535,441.64, 802,905.89 and 310,864.07 is: 466,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,441.64 : 802,905.89 = 310,864.07 : x
  2. Step 2: Convert to fraction form
    535,441.64/802,905.89 = 310,864.07/x
  3. Step 3: Cross multiply
    535,441.64x = 802,905.89 × 310,864.07
  4. Step 4: Simplify right side
    535,441.64x = 249,594,593,245.32
  5. Step 5: Solve for x
    x = 249,594,593,245.32/535,441.64
  6. Step 6: Final answer
    x = 466,147.15

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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.