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Finding the Fourth Proportional to 846,040, 1,269,094.56 and 214,970.08

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Solution

The fourth proportional to 846,040, 1,269,094.56 and 214,970.08 is: 322,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,040 : 1,269,094.56 = 214,970.08 : x
  2. Step 2: Convert to fraction form
    846,040/1,269,094.56 = 214,970.08/x
  3. Step 3: Cross multiply
    846,040x = 1,269,094.56 × 214,970.08
  4. Step 4: Simplify right side
    846,040x = 272,817,359,090.77
  5. Step 5: Solve for x
    x = 272,817,359,090.77/846,040
  6. Step 6: Final answer
    x = 322,463.90

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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.