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Finding the Fourth Proportional to 502,870.04, 749,567.89 and 462,513.72

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Solution

The fourth proportional to 502,870.04, 749,567.89 and 462,513.72 is: 689,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,870.04 : 749,567.89 = 462,513.72 : x
  2. Step 2: Convert to fraction form
    502,870.04/749,567.89 = 462,513.72/x
  3. Step 3: Cross multiply
    502,870.04x = 749,567.89 × 462,513.72
  4. Step 4: Simplify right side
    502,870.04x = 346,685,433,196.45
  5. Step 5: Solve for x
    x = 346,685,433,196.45/502,870.04
  6. Step 6: Final answer
    x = 689,413.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.