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Finding the Fourth Proportional to 506,054.34, 759,069.41 and 164,497.35

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Solution

The fourth proportional to 506,054.34, 759,069.41 and 164,497.35 is: 246,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,054.34 : 759,069.41 = 164,497.35 : x
  2. Step 2: Convert to fraction form
    506,054.34/759,069.41 = 164,497.35/x
  3. Step 3: Cross multiply
    506,054.34x = 759,069.41 × 164,497.35
  4. Step 4: Simplify right side
    506,054.34x = 124,864,905,588.58
  5. Step 5: Solve for x
    x = 124,864,905,588.58/506,054.34
  6. Step 6: Final answer
    x = 246,742.09

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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.