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Finding the Fourth Proportional to 286,548.60, 429,822.90 and 257,024.10

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Solution

The fourth proportional to 286,548.60, 429,822.90 and 257,024.10 is: 385,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,548.60 : 429,822.90 = 257,024.10 : x
  2. Step 2: Convert to fraction form
    286,548.60/429,822.90 = 257,024.10/x
  3. Step 3: Cross multiply
    286,548.60x = 429,822.90 × 257,024.10
  4. Step 4: Simplify right side
    286,548.60x = 110,474,844,031.89
  5. Step 5: Solve for x
    x = 110,474,844,031.89/286,548.60
  6. Step 6: Final answer
    x = 385,536.15

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1.5x scale

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.