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Finding the Fourth Proportional to 459,243, 633,534.51 and 298,148.58

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Solution

The fourth proportional to 459,243, 633,534.51 and 298,148.58 is: 411,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,243 : 633,534.51 = 298,148.58 : x
  2. Step 2: Convert to fraction form
    459,243/633,534.51 = 298,148.58/x
  3. Step 3: Cross multiply
    459,243x = 633,534.51 × 298,148.58
  4. Step 4: Simplify right side
    459,243x = 188,887,414,537.50
  5. Step 5: Solve for x
    x = 188,887,414,537.50/459,243
  6. Step 6: Final answer
    x = 411,301.67

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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.