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Finding the Fourth Proportional to 298,533.78, 411,970.68 and 162,569.40

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Solution

The fourth proportional to 298,533.78, 411,970.68 and 162,569.40 is: 224,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,533.78 : 411,970.68 = 162,569.40 : x
  2. Step 2: Convert to fraction form
    298,533.78/411,970.68 = 162,569.40/x
  3. Step 3: Cross multiply
    298,533.78x = 411,970.68 × 162,569.40
  4. Step 4: Simplify right side
    298,533.78x = 66,973,826,265.19
  5. Step 5: Solve for x
    x = 66,973,826,265.19/298,533.78
  6. Step 6: Final answer
    x = 224,342.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.