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Finding the Fourth Proportional to 468,897.07, 702,499.96 and 288,668.83

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Solution

The fourth proportional to 468,897.07, 702,499.96 and 288,668.83 is: 432,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,897.07 : 702,499.96 = 288,668.83 : x
  2. Step 2: Convert to fraction form
    468,897.07/702,499.96 = 288,668.83/x
  3. Step 3: Cross multiply
    468,897.07x = 702,499.96 × 288,668.83
  4. Step 4: Simplify right side
    468,897.07x = 202,789,841,528.25
  5. Step 5: Solve for x
    x = 202,789,841,528.25/468,897.07
  6. Step 6: Final answer
    x = 432,482.64

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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.