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Finding the Fourth Proportional to 357,319.76, 493,332 and 221,498.16

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Solution

The fourth proportional to 357,319.76, 493,332 and 221,498.16 is: 305,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,319.76 : 493,332 = 221,498.16 : x
  2. Step 2: Convert to fraction form
    357,319.76/493,332 = 221,498.16/x
  3. Step 3: Cross multiply
    357,319.76x = 493,332 × 221,498.16
  4. Step 4: Simplify right side
    357,319.76x = 109,272,130,269.12
  5. Step 5: Solve for x
    x = 109,272,130,269.12/357,319.76
  6. Step 6: Final answer
    x = 305,810.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.