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Finding the Fourth Proportional to 430,385, 645,681.18 and 134,897

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Solution

The fourth proportional to 430,385, 645,681.18 and 134,897 is: 202,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,385 : 645,681.18 = 134,897 : x
  2. Step 2: Convert to fraction form
    430,385/645,681.18 = 134,897/x
  3. Step 3: Cross multiply
    430,385x = 645,681.18 × 134,897
  4. Step 4: Simplify right side
    430,385x = 87,100,454,138.46
  5. Step 5: Solve for x
    x = 87,100,454,138.46/430,385
  6. Step 6: Final answer
    x = 202,378.00

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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.