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Finding the Fourth Proportional to 509,556.96, 701,582.40 and 462,317.76

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Solution

The fourth proportional to 509,556.96, 701,582.40 and 462,317.76 is: 636,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,556.96 : 701,582.40 = 462,317.76 : x
  2. Step 2: Convert to fraction form
    509,556.96/701,582.40 = 462,317.76/x
  3. Step 3: Cross multiply
    509,556.96x = 701,582.40 × 462,317.76
  4. Step 4: Simplify right side
    509,556.96x = 324,354,003,623.42
  5. Step 5: Solve for x
    x = 324,354,003,623.42/509,556.96
  6. Step 6: Final answer
    x = 636,541.21

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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.