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Finding the Fourth Proportional to 370,683.71, 511,537.97 and 209,533.10

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Solution

The fourth proportional to 370,683.71, 511,537.97 and 209,533.10 is: 289,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,683.71 : 511,537.97 = 209,533.10 : x
  2. Step 2: Convert to fraction form
    370,683.71/511,537.97 = 209,533.10/x
  3. Step 3: Cross multiply
    370,683.71x = 511,537.97 × 209,533.10
  4. Step 4: Simplify right side
    370,683.71x = 107,184,133,016.45
  5. Step 5: Solve for x
    x = 107,184,133,016.45/370,683.71
  6. Step 6: Final answer
    x = 289,152.54

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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.