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Finding the Fourth Proportional to 357,314.96, 535,784.52 and 188,925.68

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Solution

The fourth proportional to 357,314.96, 535,784.52 and 188,925.68 is: 283,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314.96 : 535,784.52 = 188,925.68 : x
  2. Step 2: Convert to fraction form
    357,314.96/535,784.52 = 188,925.68/x
  3. Step 3: Cross multiply
    357,314.96x = 535,784.52 × 188,925.68
  4. Step 4: Simplify right side
    357,314.96x = 101,223,454,774.47
  5. Step 5: Solve for x
    x = 101,223,454,774.47/357,314.96
  6. Step 6: Final answer
    x = 283,289.16

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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.