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Finding the Fourth Proportional to 509,076.52, 702,515.46 and 282,714.28

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Solution

The fourth proportional to 509,076.52, 702,515.46 and 282,714.28 is: 390,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,076.52 : 702,515.46 = 282,714.28 : x
  2. Step 2: Convert to fraction form
    509,076.52/702,515.46 = 282,714.28/x
  3. Step 3: Cross multiply
    509,076.52x = 702,515.46 × 282,714.28
  4. Step 4: Simplify right side
    509,076.52x = 198,611,152,462.77
  5. Step 5: Solve for x
    x = 198,611,152,462.77/509,076.52
  6. Step 6: Final answer
    x = 390,140.08

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1.5x scale

Why These Related Problems?

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