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Finding the Fourth Proportional to 514,830.82, 710,045.26 and 362,373.70

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Solution

The fourth proportional to 514,830.82, 710,045.26 and 362,373.70 is: 499,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,830.82 : 710,045.26 = 362,373.70 : x
  2. Step 2: Convert to fraction form
    514,830.82/710,045.26 = 362,373.70/x
  3. Step 3: Cross multiply
    514,830.82x = 710,045.26 × 362,373.70
  4. Step 4: Simplify right side
    514,830.82x = 257,301,728,033.66
  5. Step 5: Solve for x
    x = 257,301,728,033.66/514,830.82
  6. Step 6: Final answer
    x = 499,779.19

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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.