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Finding the Fourth Proportional to 430,565.95, 645,994.12 and 190,647.10

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Solution

The fourth proportional to 430,565.95, 645,994.12 and 190,647.10 is: 286,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,565.95 : 645,994.12 = 190,647.10 : x
  2. Step 2: Convert to fraction form
    430,565.95/645,994.12 = 190,647.10/x
  3. Step 3: Cross multiply
    430,565.95x = 645,994.12 × 190,647.10
  4. Step 4: Simplify right side
    430,565.95x = 123,156,901,411.85
  5. Step 5: Solve for x
    x = 123,156,901,411.85/430,565.95
  6. Step 6: Final answer
    x = 286,034.93

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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.