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Finding the Fourth Proportional to 354,543.60, 488,274.84 and 346,802.16

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Solution

The fourth proportional to 354,543.60, 488,274.84 and 346,802.16 is: 477,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,543.60 : 488,274.84 = 346,802.16 : x
  2. Step 2: Convert to fraction form
    354,543.60/488,274.84 = 346,802.16/x
  3. Step 3: Cross multiply
    354,543.60x = 488,274.84 × 346,802.16
  4. Step 4: Simplify right side
    354,543.60x = 169,334,769,185.65
  5. Step 5: Solve for x
    x = 169,334,769,185.65/354,543.60
  6. Step 6: Final answer
    x = 477,613.39

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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.