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Finding the Fourth Proportional to 528,133.14, 728,824.08 and 286,415.64

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Solution

The fourth proportional to 528,133.14, 728,824.08 and 286,415.64 is: 395,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,133.14 : 728,824.08 = 286,415.64 : x
  2. Step 2: Convert to fraction form
    528,133.14/728,824.08 = 286,415.64/x
  3. Step 3: Cross multiply
    528,133.14x = 728,824.08 × 286,415.64
  4. Step 4: Simplify right side
    528,133.14x = 208,746,615,320.61
  5. Step 5: Solve for x
    x = 208,746,615,320.61/528,133.14
  6. Step 6: Final answer
    x = 395,253.77

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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.