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Finding the Fourth Proportional to 523,050.64, 783,827.43 and 297,946.24

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Solution

The fourth proportional to 523,050.64, 783,827.43 and 297,946.24 is: 446,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,050.64 : 783,827.43 = 297,946.24 : x
  2. Step 2: Convert to fraction form
    523,050.64/783,827.43 = 297,946.24/x
  3. Step 3: Cross multiply
    523,050.64x = 783,827.43 × 297,946.24
  4. Step 4: Simplify right side
    523,050.64x = 233,538,435,577.36
  5. Step 5: Solve for x
    x = 233,538,435,577.36/523,050.64
  6. Step 6: Final answer
    x = 446,492.97

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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.