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Finding the Fourth Proportional to 430,097.76, 645,224.21 and 177,237.50

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Solution

The fourth proportional to 430,097.76, 645,224.21 and 177,237.50 is: 265,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,097.76 : 645,224.21 = 177,237.50 : x
  2. Step 2: Convert to fraction form
    430,097.76/645,224.21 = 177,237.50/x
  3. Step 3: Cross multiply
    430,097.76x = 645,224.21 × 177,237.50
  4. Step 4: Simplify right side
    430,097.76x = 114,357,926,061.77
  5. Step 5: Solve for x
    x = 114,357,926,061.77/430,097.76
  6. Step 6: Final answer
    x = 265,888.22

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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.