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Finding the Fourth Proportional to 407,590.88, 562,492.97 and 226,302.83

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Solution

The fourth proportional to 407,590.88, 562,492.97 and 226,302.83 is: 312,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,590.88 : 562,492.97 = 226,302.83 : x
  2. Step 2: Convert to fraction form
    407,590.88/562,492.97 = 226,302.83/x
  3. Step 3: Cross multiply
    407,590.88x = 562,492.97 × 226,302.83
  4. Step 4: Simplify right side
    407,590.88x = 127,293,748,719.40
  5. Step 5: Solve for x
    x = 127,293,748,719.40/407,590.88
  6. Step 6: Final answer
    x = 312,307.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.