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Finding the Fourth Proportional to 357,588.34, 536,323.55 and 117,705.38

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Solution

The fourth proportional to 357,588.34, 536,323.55 and 117,705.38 is: 176,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,588.34 : 536,323.55 = 117,705.38 : x
  2. Step 2: Convert to fraction form
    357,588.34/536,323.55 = 117,705.38/x
  3. Step 3: Cross multiply
    357,588.34x = 536,323.55 × 117,705.38
  4. Step 4: Simplify right side
    357,588.34x = 63,128,164,647.65
  5. Step 5: Solve for x
    x = 63,128,164,647.65/357,588.34
  6. Step 6: Final answer
    x = 176,538.65

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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.