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Finding the Fourth Proportional to 401,364.16, 602,058.88 and 148,707.84

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Solution

The fourth proportional to 401,364.16, 602,058.88 and 148,707.84 is: 223,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,364.16 : 602,058.88 = 148,707.84 : x
  2. Step 2: Convert to fraction form
    401,364.16/602,058.88 = 148,707.84/x
  3. Step 3: Cross multiply
    401,364.16x = 602,058.88 × 148,707.84
  4. Step 4: Simplify right side
    401,364.16x = 89,530,875,597.62
  5. Step 5: Solve for x
    x = 89,530,875,597.62/401,364.16
  6. Step 6: Final answer
    x = 223,066.44

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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.