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Finding the Fourth Proportional to 514,826.05, 710,038.71 and 362,368.93

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Solution

The fourth proportional to 514,826.05, 710,038.71 and 362,368.93 is: 499,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,826.05 : 710,038.71 = 362,368.93 : x
  2. Step 2: Convert to fraction form
    514,826.05/710,038.71 = 362,368.93/x
  3. Step 3: Cross multiply
    514,826.05x = 710,038.71 × 362,368.93
  4. Step 4: Simplify right side
    514,826.05x = 257,295,967,601.28
  5. Step 5: Solve for x
    x = 257,295,967,601.28/514,826.05
  6. Step 6: Final answer
    x = 499,772.63

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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.