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Finding the Fourth Proportional to 384,837.40, 577,256.10 and 174,885.40

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Solution

The fourth proportional to 384,837.40, 577,256.10 and 174,885.40 is: 262,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,837.40 : 577,256.10 = 174,885.40 : x
  2. Step 2: Convert to fraction form
    384,837.40/577,256.10 = 174,885.40/x
  3. Step 3: Cross multiply
    384,837.40x = 577,256.10 × 174,885.40
  4. Step 4: Simplify right side
    384,837.40x = 100,953,663,950.94
  5. Step 5: Solve for x
    x = 100,953,663,950.94/384,837.40
  6. Step 6: Final answer
    x = 262,328.10

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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.