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Finding the Fourth Proportional to 702,970.71, 970,100.10 and 380,681.16

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Solution

The fourth proportional to 702,970.71, 970,100.10 and 380,681.16 is: 525,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,970.71 : 970,100.10 = 380,681.16 : x
  2. Step 2: Convert to fraction form
    702,970.71/970,100.10 = 380,681.16/x
  3. Step 3: Cross multiply
    702,970.71x = 970,100.10 × 380,681.16
  4. Step 4: Simplify right side
    702,970.71x = 369,298,831,384.12
  5. Step 5: Solve for x
    x = 369,298,831,384.12/702,970.71
  6. Step 6: Final answer
    x = 525,340.28

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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.