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Finding the Fourth Proportional to 702,071.04, 968,464.32 and 430,270.64

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Solution

The fourth proportional to 702,071.04, 968,464.32 and 430,270.64 is: 593,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,071.04 : 968,464.32 = 430,270.64 : x
  2. Step 2: Convert to fraction form
    702,071.04/968,464.32 = 430,270.64/x
  3. Step 3: Cross multiply
    702,071.04x = 968,464.32 × 430,270.64
  4. Step 4: Simplify right side
    702,071.04x = 416,701,762,783.57
  5. Step 5: Solve for x
    x = 416,701,762,783.57/702,071.04
  6. Step 6: Final answer
    x = 593,532.19

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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.