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Finding the Fourth Proportional to 1,029,900, 1,544,852.16 and 438,924

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Solution

The fourth proportional to 1,029,900, 1,544,852.16 and 438,924 is: 658,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,900 : 1,544,852.16 = 438,924 : x
  2. Step 2: Convert to fraction form
    1,029,900/1,544,852.16 = 438,924/x
  3. Step 3: Cross multiply
    1,029,900x = 1,544,852.16 × 438,924
  4. Step 4: Simplify right side
    1,029,900x = 678,072,689,475.84
  5. Step 5: Solve for x
    x = 678,072,689,475.84/1,029,900
  6. Step 6: Final answer
    x = 658,386.92

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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.