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Finding the Fourth Proportional to 687,441.51, 948,237.76 and 407,840.75

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Solution

The fourth proportional to 687,441.51, 948,237.76 and 407,840.75 is: 562,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,441.51 : 948,237.76 = 407,840.75 : x
  2. Step 2: Convert to fraction form
    687,441.51/948,237.76 = 407,840.75/x
  3. Step 3: Cross multiply
    687,441.51x = 948,237.76 × 407,840.75
  4. Step 4: Simplify right side
    687,441.51x = 386,729,998,541.22
  5. Step 5: Solve for x
    x = 386,729,998,541.22/687,441.51
  6. Step 6: Final answer
    x = 562,564.22

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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.