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Finding the Fourth Proportional to 651,428, 898,865.64 and 409,539.20

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Solution

The fourth proportional to 651,428, 898,865.64 and 409,539.20 is: 565,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,428 : 898,865.64 = 409,539.20 : x
  2. Step 2: Convert to fraction form
    651,428/898,865.64 = 409,539.20/x
  3. Step 3: Cross multiply
    651,428x = 898,865.64 × 409,539.20
  4. Step 4: Simplify right side
    651,428x = 368,120,715,113.09
  5. Step 5: Solve for x
    x = 368,120,715,113.09/651,428
  6. Step 6: Final answer
    x = 565,098.08

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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.