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Finding the Fourth Proportional to 464,329.55, 696,276.95 and 164,803.50

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Solution

The fourth proportional to 464,329.55, 696,276.95 and 164,803.50 is: 247,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,329.55 : 696,276.95 = 164,803.50 : x
  2. Step 2: Convert to fraction form
    464,329.55/696,276.95 = 164,803.50/x
  3. Step 3: Cross multiply
    464,329.55x = 696,276.95 × 164,803.50
  4. Step 4: Simplify right side
    464,329.55x = 114,748,877,505.31
  5. Step 5: Solve for x
    x = 114,748,877,505.31/464,329.55
  6. Step 6: Final answer
    x = 247,128.09

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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.