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Finding the Fourth Proportional to 286,257.40, 429,386.10 and 234,417.40

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Solution

The fourth proportional to 286,257.40, 429,386.10 and 234,417.40 is: 351,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,257.40 : 429,386.10 = 234,417.40 : x
  2. Step 2: Convert to fraction form
    286,257.40/429,386.10 = 234,417.40/x
  3. Step 3: Cross multiply
    286,257.40x = 429,386.10 × 234,417.40
  4. Step 4: Simplify right side
    286,257.40x = 100,655,573,158.14
  5. Step 5: Solve for x
    x = 100,655,573,158.14/286,257.40
  6. Step 6: Final answer
    x = 351,626.10

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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.