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Finding the Fourth Proportional to 310,447.64, 428,098.75 and 259,441.33

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Solution

The fourth proportional to 310,447.64, 428,098.75 and 259,441.33 is: 357,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,447.64 : 428,098.75 = 259,441.33 : x
  2. Step 2: Convert to fraction form
    310,447.64/428,098.75 = 259,441.33/x
  3. Step 3: Cross multiply
    310,447.64x = 428,098.75 × 259,441.33
  4. Step 4: Simplify right side
    310,447.64x = 111,066,509,071.34
  5. Step 5: Solve for x
    x = 111,066,509,071.34/310,447.64
  6. Step 6: Final answer
    x = 357,762.45

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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.