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Finding the Fourth Proportional to 430,242.30, 645,277.05 and 205,602.30

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Solution

The fourth proportional to 430,242.30, 645,277.05 and 205,602.30 is: 308,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,242.30 : 645,277.05 = 205,602.30 : x
  2. Step 2: Convert to fraction form
    430,242.30/645,277.05 = 205,602.30/x
  3. Step 3: Cross multiply
    430,242.30x = 645,277.05 × 205,602.30
  4. Step 4: Simplify right side
    430,242.30x = 132,670,445,617.22
  5. Step 5: Solve for x
    x = 132,670,445,617.22/430,242.30
  6. Step 6: Final answer
    x = 308,362.16

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1.5x scale

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.