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Finding the Fourth Proportional to 406,091.16, 560,160.63 and 260,848.08

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Solution

The fourth proportional to 406,091.16, 560,160.63 and 260,848.08 is: 359,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,091.16 : 560,160.63 = 260,848.08 : x
  2. Step 2: Convert to fraction form
    406,091.16/560,160.63 = 260,848.08/x
  3. Step 3: Cross multiply
    406,091.16x = 560,160.63 × 260,848.08
  4. Step 4: Simplify right side
    406,091.16x = 146,116,824,827.09
  5. Step 5: Solve for x
    x = 146,116,824,827.09/406,091.16
  6. Step 6: Final answer
    x = 359,812.87

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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.