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Finding the Fourth Proportional to 433,532.61, 649,457.60 and 319,473.45

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Solution

The fourth proportional to 433,532.61, 649,457.60 and 319,473.45 is: 478,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,532.61 : 649,457.60 = 319,473.45 : x
  2. Step 2: Convert to fraction form
    433,532.61/649,457.60 = 319,473.45/x
  3. Step 3: Cross multiply
    433,532.61x = 649,457.60 × 319,473.45
  4. Step 4: Simplify right side
    433,532.61x = 207,484,458,503.35
  5. Step 5: Solve for x
    x = 207,484,458,503.35/433,532.61
  6. Step 6: Final answer
    x = 478,590.20

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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.