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Finding the Fourth Proportional to 355,302.60, 532,262.70 and 214,643.40

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Solution

The fourth proportional to 355,302.60, 532,262.70 and 214,643.40 is: 321,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,302.60 : 532,262.70 = 214,643.40 : x
  2. Step 2: Convert to fraction form
    355,302.60/532,262.70 = 214,643.40/x
  3. Step 3: Cross multiply
    355,302.60x = 532,262.70 × 214,643.40
  4. Step 4: Simplify right side
    355,302.60x = 114,246,675,621.18
  5. Step 5: Solve for x
    x = 114,246,675,621.18/355,302.60
  6. Step 6: Final answer
    x = 321,547.54

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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.