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Finding the Fourth Proportional to 507,699.63, 761,300.64 and 208,098.72

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Solution

The fourth proportional to 507,699.63, 761,300.64 and 208,098.72 is: 312,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,699.63 : 761,300.64 = 208,098.72 : x
  2. Step 2: Convert to fraction form
    507,699.63/761,300.64 = 208,098.72/x
  3. Step 3: Cross multiply
    507,699.63x = 761,300.64 × 208,098.72
  4. Step 4: Simplify right side
    507,699.63x = 158,425,688,719.18
  5. Step 5: Solve for x
    x = 158,425,688,719.18/507,699.63
  6. Step 6: Final answer
    x = 312,046.10

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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.