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Finding the Fourth Proportional to 286,400.63, 429,492.93 and 230,102.39

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Solution

The fourth proportional to 286,400.63, 429,492.93 and 230,102.39 is: 345,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,400.63 : 429,492.93 = 230,102.39 : x
  2. Step 2: Convert to fraction form
    286,400.63/429,492.93 = 230,102.39/x
  3. Step 3: Cross multiply
    286,400.63x = 429,492.93 × 230,102.39
  4. Step 4: Simplify right side
    286,400.63x = 98,827,347,533.64
  5. Step 5: Solve for x
    x = 98,827,347,533.64/286,400.63
  6. Step 6: Final answer
    x = 345,066.80

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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.