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Finding the Fourth Proportional to 538,132.27, 742,595.10 and 296,409.64

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Solution

The fourth proportional to 538,132.27, 742,595.10 and 296,409.64 is: 409,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,132.27 : 742,595.10 = 296,409.64 : x
  2. Step 2: Convert to fraction form
    538,132.27/742,595.10 = 296,409.64/x
  3. Step 3: Cross multiply
    538,132.27x = 742,595.10 × 296,409.64
  4. Step 4: Simplify right side
    538,132.27x = 220,112,346,256.76
  5. Step 5: Solve for x
    x = 220,112,346,256.76/538,132.27
  6. Step 6: Final answer
    x = 409,030.19

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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.