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Finding the Fourth Proportional to 549,411.60, 824,117.40 and 460,838.10

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Solution

The fourth proportional to 549,411.60, 824,117.40 and 460,838.10 is: 691,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,411.60 : 824,117.40 = 460,838.10 : x
  2. Step 2: Convert to fraction form
    549,411.60/824,117.40 = 460,838.10/x
  3. Step 3: Cross multiply
    549,411.60x = 824,117.40 × 460,838.10
  4. Step 4: Simplify right side
    549,411.60x = 379,784,696,792.94
  5. Step 5: Solve for x
    x = 379,784,696,792.94/549,411.60
  6. Step 6: Final answer
    x = 691,257.15

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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.