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Finding the Fourth Proportional to 923,865, 1,274,937.54 and 499,929

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Solution

The fourth proportional to 923,865, 1,274,937.54 and 499,929 is: 689,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,865 : 1,274,937.54 = 499,929 : x
  2. Step 2: Convert to fraction form
    923,865/1,274,937.54 = 499,929/x
  3. Step 3: Cross multiply
    923,865x = 1,274,937.54 × 499,929
  4. Step 4: Simplify right side
    923,865x = 637,378,249,434.66
  5. Step 5: Solve for x
    x = 637,378,249,434.66/923,865
  6. Step 6: Final answer
    x = 689,904.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.