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Finding the Fourth Proportional to 433,066.88, 597,740.64 and 346,688.48

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Solution

The fourth proportional to 433,066.88, 597,740.64 and 346,688.48 is: 478,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,066.88 : 597,740.64 = 346,688.48 : x
  2. Step 2: Convert to fraction form
    433,066.88/597,740.64 = 346,688.48/x
  3. Step 3: Cross multiply
    433,066.88x = 597,740.64 × 346,688.48
  4. Step 4: Simplify right side
    433,066.88x = 207,229,793,915.83
  5. Step 5: Solve for x
    x = 207,229,793,915.83/433,066.88
  6. Step 6: Final answer
    x = 478,516.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.