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Finding the Fourth Proportional to 397,551.08, 596,345.82 and 117,071.08

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Solution

The fourth proportional to 397,551.08, 596,345.82 and 117,071.08 is: 175,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,551.08 : 596,345.82 = 117,071.08 : x
  2. Step 2: Convert to fraction form
    397,551.08/596,345.82 = 117,071.08/x
  3. Step 3: Cross multiply
    397,551.08x = 596,345.82 × 117,071.08
  4. Step 4: Simplify right side
    397,551.08x = 69,814,849,200.89
  5. Step 5: Solve for x
    x = 69,814,849,200.89/397,551.08
  6. Step 6: Final answer
    x = 175,612.27

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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.