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Finding the Fourth Proportional to 442,421.92, 662,599.51 and 406,697.27

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Solution

The fourth proportional to 442,421.92, 662,599.51 and 406,697.27 is: 609,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,421.92 : 662,599.51 = 406,697.27 : x
  2. Step 2: Convert to fraction form
    442,421.92/662,599.51 = 406,697.27/x
  3. Step 3: Cross multiply
    442,421.92x = 662,599.51 × 406,697.27
  4. Step 4: Simplify right side
    442,421.92x = 269,477,411,820.34
  5. Step 5: Solve for x
    x = 269,477,411,820.34/442,421.92
  6. Step 6: Final answer
    x = 609,095.98

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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.