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Finding the Fourth Proportional to 463,457.60, 695,704.80 and 358,740.80

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Solution

The fourth proportional to 463,457.60, 695,704.80 and 358,740.80 is: 538,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,457.60 : 695,704.80 = 358,740.80 : x
  2. Step 2: Convert to fraction form
    463,457.60/695,704.80 = 358,740.80/x
  3. Step 3: Cross multiply
    463,457.60x = 695,704.80 × 358,740.80
  4. Step 4: Simplify right side
    463,457.60x = 249,577,696,515.84
  5. Step 5: Solve for x
    x = 249,577,696,515.84/463,457.60
  6. Step 6: Final answer
    x = 538,512.47

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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.