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Finding the Fourth Proportional to 429,818.40, 593,114.40 and 257,774.40

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Solution

The fourth proportional to 429,818.40, 593,114.40 and 257,774.40 is: 355,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,818.40 : 593,114.40 = 257,774.40 : x
  2. Step 2: Convert to fraction form
    429,818.40/593,114.40 = 257,774.40/x
  3. Step 3: Cross multiply
    429,818.40x = 593,114.40 × 257,774.40
  4. Step 4: Simplify right side
    429,818.40x = 152,889,708,591.36
  5. Step 5: Solve for x
    x = 152,889,708,591.36/429,818.40
  6. Step 6: Final answer
    x = 355,707.69

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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.