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Finding the Fourth Proportional to 314,159.13, 433,548.83 and 170,928.40

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Solution

The fourth proportional to 314,159.13, 433,548.83 and 170,928.40 is: 235,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,159.13 : 433,548.83 = 170,928.40 : x
  2. Step 2: Convert to fraction form
    314,159.13/433,548.83 = 170,928.40/x
  3. Step 3: Cross multiply
    314,159.13x = 433,548.83 × 170,928.40
  4. Step 4: Simplify right side
    314,159.13x = 74,105,808,728.75
  5. Step 5: Solve for x
    x = 74,105,808,728.75/314,159.13
  6. Step 6: Final answer
    x = 235,886.21

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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.