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Finding the Fourth Proportional to 466,598.49, 700,740.86 and 429,089.37

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Solution

The fourth proportional to 466,598.49, 700,740.86 and 429,089.37 is: 644,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,598.49 : 700,740.86 = 429,089.37 : x
  2. Step 2: Convert to fraction form
    466,598.49/700,740.86 = 429,089.37/x
  3. Step 3: Cross multiply
    466,598.49x = 700,740.86 × 429,089.37
  4. Step 4: Simplify right side
    466,598.49x = 300,680,452,005.21
  5. Step 5: Solve for x
    x = 300,680,452,005.21/466,598.49
  6. Step 6: Final answer
    x = 644,409.40

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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.