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Finding the Fourth Proportional to 671,709.60, 1,007,564.40 and 459,133.20

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Solution

The fourth proportional to 671,709.60, 1,007,564.40 and 459,133.20 is: 688,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,709.60 : 1,007,564.40 = 459,133.20 : x
  2. Step 2: Convert to fraction form
    671,709.60/1,007,564.40 = 459,133.20/x
  3. Step 3: Cross multiply
    671,709.60x = 1,007,564.40 × 459,133.20
  4. Step 4: Simplify right side
    671,709.60x = 462,606,267,178.08
  5. Step 5: Solve for x
    x = 462,606,267,178.08/671,709.60
  6. Step 6: Final answer
    x = 688,699.80

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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.