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Finding the Fourth Proportional to 564,127.14, 844,054.74 and 348,036.96

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Solution

The fourth proportional to 564,127.14, 844,054.74 and 348,036.96 is: 520,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,127.14 : 844,054.74 = 348,036.96 : x
  2. Step 2: Convert to fraction form
    564,127.14/844,054.74 = 348,036.96/x
  3. Step 3: Cross multiply
    564,127.14x = 844,054.74 × 348,036.96
  4. Step 4: Simplify right side
    564,127.14x = 293,762,245,783.19
  5. Step 5: Solve for x
    x = 293,762,245,783.19/564,127.14
  6. Step 6: Final answer
    x = 520,737.66

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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.