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Finding the Fourth Proportional to 514,827.81, 710,041.13 and 362,370.69

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Solution

The fourth proportional to 514,827.81, 710,041.13 and 362,370.69 is: 499,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,827.81 : 710,041.13 = 362,370.69 : x
  2. Step 2: Convert to fraction form
    514,827.81/710,041.13 = 362,370.69/x
  3. Step 3: Cross multiply
    514,827.81x = 710,041.13 × 362,370.69
  4. Step 4: Simplify right side
    514,827.81x = 257,298,094,206.48
  5. Step 5: Solve for x
    x = 257,298,094,206.48/514,827.81
  6. Step 6: Final answer
    x = 499,775.05

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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.