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Finding the Fourth Proportional to 475,312.64, 713,012.94 and 155,466.32

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Solution

The fourth proportional to 475,312.64, 713,012.94 and 155,466.32 is: 233,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,312.64 : 713,012.94 = 155,466.32 : x
  2. Step 2: Convert to fraction form
    475,312.64/713,012.94 = 155,466.32/x
  3. Step 3: Cross multiply
    475,312.64x = 713,012.94 × 155,466.32
  4. Step 4: Simplify right side
    475,312.64x = 110,849,497,894.18
  5. Step 5: Solve for x
    x = 110,849,497,894.18/475,312.64
  6. Step 6: Final answer
    x = 233,213.87

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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.