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Finding the Fourth Proportional to 410,832.51, 615,840.53 and 285,911.07

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Solution

The fourth proportional to 410,832.51, 615,840.53 and 285,911.07 is: 428,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,832.51 : 615,840.53 = 285,911.07 : x
  2. Step 2: Convert to fraction form
    410,832.51/615,840.53 = 285,911.07/x
  3. Step 3: Cross multiply
    410,832.51x = 615,840.53 × 285,911.07
  4. Step 4: Simplify right side
    410,832.51x = 176,075,623,452.11
  5. Step 5: Solve for x
    x = 176,075,623,452.11/410,832.51
  6. Step 6: Final answer
    x = 428,582.50

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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.