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Finding the Fourth Proportional to 405,257, 559,308.12 and 391,948.93

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Solution

The fourth proportional to 405,257, 559,308.12 and 391,948.93 is: 540,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,257 : 559,308.12 = 391,948.93 : x
  2. Step 2: Convert to fraction form
    405,257/559,308.12 = 391,948.93/x
  3. Step 3: Cross multiply
    405,257x = 559,308.12 × 391,948.93
  4. Step 4: Simplify right side
    405,257x = 219,220,219,174.31
  5. Step 5: Solve for x
    x = 219,220,219,174.31/405,257
  6. Step 6: Final answer
    x = 540,941.23

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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.