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Finding the Fourth Proportional to 340,430.76, 469,795.14 and 189,533.16

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Solution

The fourth proportional to 340,430.76, 469,795.14 and 189,533.16 is: 261,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,430.76 : 469,795.14 = 189,533.16 : x
  2. Step 2: Convert to fraction form
    340,430.76/469,795.14 = 189,533.16/x
  3. Step 3: Cross multiply
    340,430.76x = 469,795.14 × 189,533.16
  4. Step 4: Simplify right side
    340,430.76x = 89,041,757,436.84
  5. Step 5: Solve for x
    x = 89,041,757,436.84/340,430.76
  6. Step 6: Final answer
    x = 261,556.15

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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.