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Finding the Fourth Proportional to 624,897.96, 862,357.80 and 338,417.16

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Solution

The fourth proportional to 624,897.96, 862,357.80 and 338,417.16 is: 467,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,897.96 : 862,357.80 = 338,417.16 : x
  2. Step 2: Convert to fraction form
    624,897.96/862,357.80 = 338,417.16/x
  3. Step 3: Cross multiply
    624,897.96x = 862,357.80 × 338,417.16
  4. Step 4: Simplify right side
    624,897.96x = 291,836,677,579.85
  5. Step 5: Solve for x
    x = 291,836,677,579.85/624,897.96
  6. Step 6: Final answer
    x = 467,014.93

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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.