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Finding the Fourth Proportional to 1,232,964, 1,849,446 and 346,500

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Solution

The fourth proportional to 1,232,964, 1,849,446 and 346,500 is: 519,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,964 : 1,849,446 = 346,500 : x
  2. Step 2: Convert to fraction form
    1,232,964/1,849,446 = 346,500/x
  3. Step 3: Cross multiply
    1,232,964x = 1,849,446 × 346,500
  4. Step 4: Simplify right side
    1,232,964x = 640,833,039,000
  5. Step 5: Solve for x
    x = 640,833,039,000/1,232,964
  6. Step 6: Final answer
    x = 519,750

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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.