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Finding the Fourth Proportional to 565,462, 847,977.54 and 249,746.68

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Solution

The fourth proportional to 565,462, 847,977.54 and 249,746.68 is: 374,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,462 : 847,977.54 = 249,746.68 : x
  2. Step 2: Convert to fraction form
    565,462/847,977.54 = 249,746.68/x
  3. Step 3: Cross multiply
    565,462x = 847,977.54 × 249,746.68
  4. Step 4: Simplify right side
    565,462x = 211,779,575,329.57
  5. Step 5: Solve for x
    x = 211,779,575,329.57/565,462
  6. Step 6: Final answer
    x = 374,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.