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Finding the Fourth Proportional to 514,323.04, 709,776.47 and 307,804.93

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Solution

The fourth proportional to 514,323.04, 709,776.47 and 307,804.93 is: 424,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,323.04 : 709,776.47 = 307,804.93 : x
  2. Step 2: Convert to fraction form
    514,323.04/709,776.47 = 307,804.93/x
  3. Step 3: Cross multiply
    514,323.04x = 709,776.47 × 307,804.93
  4. Step 4: Simplify right side
    514,323.04x = 218,472,696,664.00
  5. Step 5: Solve for x
    x = 218,472,696,664.00/514,323.04
  6. Step 6: Final answer
    x = 424,777.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.