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Finding the Fourth Proportional to 286,774.40, 429,643.20 and 233,897.60

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Solution

The fourth proportional to 286,774.40, 429,643.20 and 233,897.60 is: 350,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,774.40 : 429,643.20 = 233,897.60 : x
  2. Step 2: Convert to fraction form
    286,774.40/429,643.20 = 233,897.60/x
  3. Step 3: Cross multiply
    286,774.40x = 429,643.20 × 233,897.60
  4. Step 4: Simplify right side
    286,774.40x = 100,492,513,336.32
  5. Step 5: Solve for x
    x = 100,492,513,336.32/286,774.40
  6. Step 6: Final answer
    x = 350,423.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.