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Finding the Fourth Proportional to 652,341.60, 900,261.72 and 407,471.34

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Solution

The fourth proportional to 652,341.60, 900,261.72 and 407,471.34 is: 562,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,341.60 : 900,261.72 = 407,471.34 : x
  2. Step 2: Convert to fraction form
    652,341.60/900,261.72 = 407,471.34/x
  3. Step 3: Cross multiply
    652,341.60x = 900,261.72 × 407,471.34
  4. Step 4: Simplify right side
    652,341.60x = 366,830,844,033.12
  5. Step 5: Solve for x
    x = 366,830,844,033.12/652,341.60
  6. Step 6: Final answer
    x = 562,329.37

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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.