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Finding the Fourth Proportional to 469,319.64, 702,813.04 and 429,501.64

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Solution

The fourth proportional to 469,319.64, 702,813.04 and 429,501.64 is: 643,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,319.64 : 702,813.04 = 429,501.64 : x
  2. Step 2: Convert to fraction form
    469,319.64/702,813.04 = 429,501.64/x
  3. Step 3: Cross multiply
    469,319.64x = 702,813.04 × 429,501.64
  4. Step 4: Simplify right side
    469,319.64x = 301,859,353,293.39
  5. Step 5: Solve for x
    x = 301,859,353,293.39/469,319.64
  6. Step 6: Final answer
    x = 643,185.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.