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Finding the Fourth Proportional to 635,411, 877,064.01 and 409,056.50

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Solution

The fourth proportional to 635,411, 877,064.01 and 409,056.50 is: 564,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,411 : 877,064.01 = 409,056.50 : x
  2. Step 2: Convert to fraction form
    635,411/877,064.01 = 409,056.50/x
  3. Step 3: Cross multiply
    635,411x = 877,064.01 × 409,056.50
  4. Step 4: Simplify right side
    635,411x = 358,768,734,206.57
  5. Step 5: Solve for x
    x = 358,768,734,206.57/635,411
  6. Step 6: Final answer
    x = 564,624.68

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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.