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Finding the Fourth Proportional to 513,276.06, 708,336.63 and 286,931.10

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Solution

The fourth proportional to 513,276.06, 708,336.63 and 286,931.10 is: 395,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,276.06 : 708,336.63 = 286,931.10 : x
  2. Step 2: Convert to fraction form
    513,276.06/708,336.63 = 286,931.10/x
  3. Step 3: Cross multiply
    513,276.06x = 708,336.63 × 286,931.10
  4. Step 4: Simplify right side
    513,276.06x = 203,243,808,416.19
  5. Step 5: Solve for x
    x = 203,243,808,416.19/513,276.06
  6. Step 6: Final answer
    x = 395,973.68

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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.