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Finding the Fourth Proportional to 577,182.90, 865,774.35 and 470,894.70

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Solution

The fourth proportional to 577,182.90, 865,774.35 and 470,894.70 is: 706,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,182.90 : 865,774.35 = 470,894.70 : x
  2. Step 2: Convert to fraction form
    577,182.90/865,774.35 = 470,894.70/x
  3. Step 3: Cross multiply
    577,182.90x = 865,774.35 × 470,894.70
  4. Step 4: Simplify right side
    577,182.90x = 407,688,552,810.95
  5. Step 5: Solve for x
    x = 407,688,552,810.95/577,182.90
  6. Step 6: Final answer
    x = 706,342.05

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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.